45915251609700 has 648 divisors, whose sum is σ = 162382406423328. Its totient is φ = 10761811200000.

The previous prime is 45915251609699. The next prime is 45915251609701. The reversal of 45915251609700 is 790615251954.

45915251609700 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 5 + 25 + 1 + 609 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45915251609699) and next prime (45915251609701).

It is a super-2 number, since 2×45915251609700² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45915251609701) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16392448300 + ... + 16392451100.

Almost surely, 2^{45915251609700} 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 45915251609700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81191203211664).

45915251609700 is an abundant number, since it is smaller than the sum of its proper divisors (116467154813628).

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

45915251609700 is a wasteful number, since it uses less digits than its factorization.

45915251609700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 45915251609700 in words is "forty-five trillion, nine hundred fifteen billion, two hundred fifty-one million, six hundred nine thousand, seven hundred".