4693332288100 has 27 divisors (see below), whose sum is σ = 10184578076491. Its totient is φ = 1877324249600.

The previous prime is 4693332288037. The next prime is 4693332288103. The reversal of 4693332288100 is 18822333964.

The square root of 4693332288100 is 2166410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 513793638436 + 4179538649664 = 716794^2 + 2044392^2 .

It is a super-2 number, since 2×4693332288100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4693332288103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21555780 + ... + 21772420.

Almost surely, 2^{4693332288100} is an apocalyptic number.

4693332288100 is the 2166410-th square number.

It is an amenable number.

4693332288100 is an abundant number, since it is smaller than the sum of its proper divisors (5491245788391).

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

4693332288100 is an frugal number, since it uses more digits than its factorization.

4693332288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433296 (or 216648 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 4693332288100 by its sum of digits (49), we get a square (229973282116900 = 15164870²).

The spelling of 4693332288100 in words is "four trillion, six hundred ninety-three billion, three hundred thirty-two million, two hundred eighty-eight thousand, one hundred".