45691760747232 has 576 divisors, whose sum is σ = 135931413159360. Its totient is φ = 14549529526272.

The previous prime is 45691760747219. The next prime is 45691760747249. The reversal of 45691760747232 is 23274706719654.

45691760747232 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 17 + 607 + 4 + 7 + 2 + 3 + 2 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 45691760747232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48763885068 + ... + 48763886004.

It is an arithmetic number, because the mean of its divisors is an integer number (235992036735).

Almost surely, 2^{45691760747232} 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 45691760747232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67965706579680).

45691760747232 is an abundant number, since it is smaller than the sum of its proper divisors (90239652412128).

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

45691760747232 is a wasteful number, since it uses less digits than its factorization.

45691760747232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 45691760747232 in words is "forty-five trillion, six hundred ninety-one billion, seven hundred sixty million, seven hundred forty-seven thousand, two hundred thirty-two".