45506986652160 has 2560 divisors, whose sum is σ = 192813259161600. Its totient is φ = 10050822144000.

The previous prime is 45506986652147. The next prime is 45506986652161. The reversal of 45506986652160 is 6125668960554.

45506986652160 is a `hidden beast` number, since 4 + 5 + 506 + 9 + 8 + 6 + 65 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is not an unprimeable number, because it can be changed into a prime (45506986652161) 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 255 ways as a sum of consecutive naturals, for example, 137483343195 + ... + 137483343525.

It is an arithmetic number, because the mean of its divisors is an integer number (75317679360).

Almost surely, 2^{45506986652160} is an apocalyptic number.

45506986652160 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 45506986652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96406629580800).

45506986652160 is an abundant number, since it is smaller than the sum of its proper divisors (147306272509440).

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

45506986652160 is a wasteful number, since it uses less digits than its factorization.

45506986652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 45506986652160 in words is "forty-five trillion, five hundred six billion, nine hundred eighty-six million, six hundred fifty-two thousand, one hundred sixty".