45617661000 has 384 divisors, whose sum is σ = 160655564160. Its totient is φ = 12107232000.

The previous prime is 45617660983. The next prime is 45617661031. The reversal of 45617661000 is 16671654.

It is a super-2 number, since 2×45617661000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84320730 + ... + 84321270.

It is an arithmetic number, because the mean of its divisors is an integer number (418373865).

Almost surely, 2^45617661000 is an apocalyptic number.

45617661000 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 45617661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80327782080).

45617661000 is an abundant number, since it is smaller than the sum of its proper divisors (115037903160).

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

45617661000 is a wasteful number, since it uses less digits than its factorization.

45617661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 45617661000 in words is "forty-five billion, six hundred seventeen million, six hundred sixty-one thousand".