45615734536960 has 288 divisors, whose sum is σ = 125404690199040. Its totient is φ = 15573179695104.

The previous prime is 45615734536877. The next prime is 45615734536961. The reversal of 45615734536960 is 6963543751654.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 45615734536892 and 45615734536901.

It is not an unprimeable number, because it can be changed into a prime (45615734536961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003833024 + ... + 4003844416.

It is an arithmetic number, because the mean of its divisors is an integer number (435432952080).

Almost surely, 2^{45615734536960} is an apocalyptic number.

45615734536960 is a gapful number since it is divisible by the number (40) 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 45615734536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62702345099520).

45615734536960 is an abundant number, since it is smaller than the sum of its proper divisors (79788955662080).

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

45615734536960 is a wasteful number, since it uses less digits than its factorization.

45615734536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 64.

The spelling of 45615734536960 in words is "forty-five trillion, six hundred fifteen billion, seven hundred thirty-four million, five hundred thirty-six thousand, nine hundred sixty".