41645622968964 has 135 divisors (see below), whose sum is σ = 126647032549653. Its totient is φ = 11898517099392.

The previous prime is 41645622968953. The next prime is 41645622968977. The reversal of 41645622968964 is 46986922654614.

The square root of 41645622968964 is 6453342.

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

41645622968964 is a `hidden beast` number, since 4 + 1 + 6 + 456 + 2 + 2 + 96 + 89 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13895821844100 + 27749801124864 = 3727710^2 + 5267808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41645622968892 and 41645622968901.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 813095484 + ... + 813146700.

Almost surely, 2^{41645622968964} is an apocalyptic number.

41645622968964 is the 6453342-nd square number.

It is an amenable number.

41645622968964 is an abundant number, since it is smaller than the sum of its proper divisors (85001409580689).

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

41645622968964 is an frugal number, since it uses more digits than its factorization.

41645622968964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102464 (or 51229 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 41645622968964 in words is "forty-one trillion, six hundred forty-five billion, six hundred twenty-two million, nine hundred sixty-eight thousand, nine hundred sixty-four".