4957787638881 has 495 divisors, whose sum is σ = 10129884180563. Its totient is φ = 2423975621760.

The previous prime is 4957787638751. The next prime is 4957787638919. The reversal of 4957787638881 is 1888367877594.

The square root of 4957787638881 is 2226609.

It is a perfect power (a square), and thus also a powerful number.

4957787638881 is a `hidden beast` number, since 4 + 9 + 577 + 8 + 7 + 6 + 38 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3859869269025 + 1097918369856 = 1964655^2 + 1047816^2 .

It is not a de Polignac number, because 4957787638881 - 2¹⁵ = 4957787606113 is a prime.

It is a super-2 number, since 2×4957787638881² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4957787638881.

It is not an unprimeable number, because it can be changed into a prime (4957787638381) by changing a digit.

It is a polite number, since it can be written in 494 ways as a sum of consecutive naturals, for example, 291634566985 + ... + 291634567001.

Almost surely, 2^{4957787638881} is an apocalyptic number.

4957787638881 is the 2226609-th square number.

4957787638881 is the 1113305-th centered octagonal number.

It is an amenable number.

4957787638881 is an abundant number, since it is smaller than the sum of its proper divisors (5172096541682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4957787638881 is an frugal number, since it uses more digits than its factorization.

4957787638881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 38 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 81.

Multiplying 4957787638881 by its sum of digits (81), we get a square (401580798749361 = 20039481²).

4957787638881 divided by its sum of digits (81) gives a square (61207254801 = 247401²).

The spelling of 4957787638881 in words is "four trillion, nine hundred fifty-seven billion, seven hundred eighty-seven million, six hundred thirty-eight thousand, eight hundred eighty-one".