45615633700 has 216 divisors, whose sum is σ = 124299247464. Its totient is φ = 14402304000.

The previous prime is 45615633697. The next prime is 45615633709. The reversal of 45615633700 is 733651654.

It can be written as a sum of positive squares in 12 ways, for example, as 33779499264 + 11836134436 = 183792^2 + 108794^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45615633709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48475230 + ... + 48476170.

It is an arithmetic number, because the mean of its divisors is an integer number (575459479).

Almost surely, 2^45615633700 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 45615633700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62149623732).

45615633700 is an abundant number, since it is smaller than the sum of its proper divisors (78683613764).

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

45615633700 is a wasteful number, since it uses less digits than its factorization.

45615633700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 45615633700 in words is "forty-five billion, six hundred fifteen million, six hundred thirty-three thousand, seven hundred".