45860650113600 has 2016 divisors, whose sum is σ = 207154221281280. Its totient is φ = 9740160368640.

The previous prime is 45860650113557. The next prime is 45860650113623. The reversal of 45860650113600 is 631105606854.

45860650113600 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 0 + 6 + 501 + 136 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3655102527 + ... + 3655115073.

It is an arithmetic number, because the mean of its divisors is an integer number (102755070080).

Almost surely, 2^{45860650113600} is an apocalyptic number.

45860650113600 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 45860650113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103577110640640).

45860650113600 is an abundant number, since it is smaller than the sum of its proper divisors (161293571167680).

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

45860650113600 is a wasteful number, since it uses less digits than its factorization.

45860650113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12687 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45860650113600 in words is "forty-five trillion, eight hundred sixty billion, six hundred fifty million, one hundred thirteen thousand, six hundred".