45879726856704 has 160 divisors (see below), whose sum is σ = 131721077478144. Its totient is φ = 14106909818880.

The previous prime is 45879726856699. The next prime is 45879726856721. The reversal of 45879726856704 is 40765862797854.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 45879726856704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27607134 + ... + 29221794.

Almost surely, 2^{45879726856704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45879726856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65860538739072).

45879726856704 is an abundant number, since it is smaller than the sum of its proper divisors (85841350621440).

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

45879726856704 is a wasteful number, since it uses less digits than its factorization.

45879726856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616118 (or 1616102 counting only the distinct ones).

The product of its (nonzero) digits is 5689958400, while the sum is 78.

The spelling of 45879726856704 in words is "forty-five trillion, eight hundred seventy-nine billion, seven hundred twenty-six million, eight hundred fifty-six thousand, seven hundred four".