45873807034608 has 120 divisors (see below), whose sum is σ = 146853329282400. Its totient is φ = 13095192471552.

The previous prime is 45873807034597. The next prime is 45873807034711. The reversal of 45873807034608 is 80643070837854.

45873807034608 is a `hidden beast` number, since 4 + 587 + 3 + 8 + 0 + 7 + 0 + 3 + 46 + 0 + 8 = 666.

45873807034608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 19016853 + ... + 21292916.

It is an arithmetic number, because the mean of its divisors is an integer number (1223777744020).

Almost surely, 2^{45873807034608} is an apocalyptic number.

45873807034608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45873807034608 is an abundant number, since it is smaller than the sum of its proper divisors (100979522247792).

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

45873807034608 is a wasteful number, since it uses less digits than its factorization.

45873807034608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40310919 (or 40310910 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 45873807034608 in words is "forty-five trillion, eight hundred seventy-three billion, eight hundred seven million, thirty-four thousand, six hundred eight".