45871375957344 has 960 divisors, whose sum is σ = 161437078978560. Its totient is φ = 12501001175040.

The previous prime is 45871375957343. The next prime is 45871375957349. The reversal of 45871375957344 is 44375957317854.

45871375957344 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 1 + 3 + 7 + 5 + 9 + 573 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45871375957343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17173857129 + ... + 17173859799.

It is an arithmetic number, because the mean of its divisors is an integer number (168163623936).

Almost surely, 2^{45871375957344} 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 45871375957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80718539489280).

45871375957344 is an abundant number, since it is smaller than the sum of its proper divisors (115565703021216).

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

45871375957344 is a wasteful number, since it uses less digits than its factorization.

45871375957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3096 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 45871375957344 in words is "forty-five trillion, eight hundred seventy-one billion, three hundred seventy-five million, nine hundred fifty-seven thousand, three hundred forty-four".