45615849252700 has 144 divisors (see below), whose sum is σ = 101399360025600. Its totient is φ = 17803948780800.

The previous prime is 45615849252697. The next prime is 45615849252733. The reversal of 45615849252700 is 725294851654.

It is a super-2 number, since 2×45615849252700² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8477204010 + ... + 8477209390.

It is an arithmetic number, because the mean of its divisors is an integer number (704162222400).

Almost surely, 2^{45615849252700} 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 45615849252700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50699680012800).

45615849252700 is an abundant number, since it is smaller than the sum of its proper divisors (55783510772900).

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

45615849252700 is a wasteful number, since it uses less digits than its factorization.

45615849252700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 45615849252700 in words is "forty-five trillion, six hundred fifteen billion, eight hundred forty-nine million, two hundred fifty-two thousand, seven hundred".