45085618256 has 160 divisors (see below), whose sum is σ = 106278912000. Its totient is φ = 18111075840.

The previous prime is 45085618243. The next prime is 45085618261. The reversal of 45085618256 is 65281658054.

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, 75267845 + ... + 75268443.

It is an arithmetic number, because the mean of its divisors is an integer number (664243200).

Almost surely, 2^45085618256 is an apocalyptic number.

45085618256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45085618256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53139456000).

45085618256 is an abundant number, since it is smaller than the sum of its proper divisors (61193293744).

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

45085618256 is a wasteful number, since it uses less digits than its factorization.

45085618256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

The spelling of 45085618256 in words is "forty-five billion, eighty-five million, six hundred eighteen thousand, two hundred fifty-six".