45156813763680 has 96 divisors (see below), whose sum is σ = 158048848188000. Its totient is φ = 12041817002496.

The previous prime is 45156813763669. The next prime is 45156813763709. The reversal of 45156813763680 is 8636731865154.

45156813763680 is a `hidden beast` number, since 4 + 5 + 1 + 568 + 1 + 3 + 7 + 6 + 3 + 68 + 0 = 666.

45156813763680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5226478755 + ... + 5226487394.

It is an arithmetic number, because the mean of its divisors is an integer number (1646342168625).

Almost surely, 2^{45156813763680} is an apocalyptic number.

45156813763680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45156813763680 is an abundant number, since it is smaller than the sum of its proper divisors (112892034424320).

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

45156813763680 is a wasteful number, since it uses less digits than its factorization.

45156813763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452966173 (or 10452966159 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 45156813763680 in words is "forty-five trillion, one hundred fifty-six billion, eight hundred thirteen million, seven hundred sixty-three thousand, six hundred eighty".