45156004764640 has 192 divisors, whose sum is σ = 135259283013120. Its totient is φ = 13836046141440.

The previous prime is 45156004764601. The next prime is 45156004764719. The reversal of 45156004764640 is 4646740065154.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30334647 + ... + 31788406.

It is an arithmetic number, because the mean of its divisors is an integer number (704475432360).

Almost surely, 2^{45156004764640} is an apocalyptic number.

45156004764640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45156004764640 is an abundant number, since it is smaller than the sum of its proper divisors (90103278248480).

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

45156004764640 is a wasteful number, since it uses less digits than its factorization.

45156004764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62123145 (or 62123137 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 45156004764640 in words is "forty-five trillion, one hundred fifty-six billion, four million, seven hundred sixty-four thousand, six hundred forty".