64054041921 has 45 divisors (see below), whose sum is σ = 97491477369. Its totient is φ = 41911538400.

The previous prime is 64054041913. The next prime is 64054041941. The reversal of 64054041921 is 12914045046.

The square root of 64054041921 is 253089.

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

64054041921 is a `hidden beast` number, since 64 + 0 + 5 + 404 + 192 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32170368321 + 31883673600 = 179361^2 + 178560^2 .

It is not a de Polignac number, because 64054041921 - 2³ = 64054041913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64054041901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 138945631 + ... + 138946091.

Almost surely, 2^64054041921 is an apocalyptic number.

64054041921 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

64054041921 is the 253089-th square number.

64054041921 is the 126545-th centered octagonal number.

It is an amenable number.

64054041921 is a deficient number, since it is larger than the sum of its proper divisors (33437435448).

64054041921 is an frugal number, since it uses more digits than its factorization.

64054041921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 64054041921 by its sum of digits (36), we get a square (2305945509156 = 1518534²).

Adding to 64054041921 its reverse (12914045046), we get a palindrome (76968086967).

The spelling of 64054041921 in words is "sixty-four billion, fifty-four million, forty-one thousand, nine hundred twenty-one".