45131417381856 has 384 divisors, whose sum is σ = 130426592034816. Its totient is φ = 13580792709120.

The previous prime is 45131417381849. The next prime is 45131417381899. The reversal of 45131417381856 is 65818371413154.

It is a junction number, because it is equal to n+sod(n) for n = 45131417381796 and 45131417381805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5509874721 + ... + 5509882911.

It is an arithmetic number, because the mean of its divisors is an integer number (339652583424).

Almost surely, 2^{45131417381856} 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 45131417381856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213296017408).

45131417381856 is an abundant number, since it is smaller than the sum of its proper divisors (85295174652960).

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

45131417381856 is a wasteful number, since it uses less digits than its factorization.

45131417381856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8786 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 45131417381856 in words is "forty-five trillion, one hundred thirty-one billion, four hundred seventeen million, three hundred eighty-one thousand, eight hundred fifty-six".