45617732160 has 896 divisors, whose sum is σ = 199877013504. Its totient is φ = 8506736640.

The previous prime is 45617732143. The next prime is 45617732177. The reversal of 45617732160 is 6123771654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45617732143) and next prime (45617732177).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35554879 + ... + 35556161.

It is an arithmetic number, because the mean of its divisors is an integer number (223077024).

Almost surely, 2^45617732160 is an apocalyptic number.

45617732160 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 45617732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99938506752).

45617732160 is an abundant number, since it is smaller than the sum of its proper divisors (154259281344).

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

45617732160 is a wasteful number, since it uses less digits than its factorization.

45617732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

It can be divided in two parts, 45617 and 732160, that added together give a palindrome (777777).

The spelling of 45617732160 in words is "forty-five billion, six hundred seventeen million, seven hundred thirty-two thousand, one hundred sixty".