45561216000 has 352 divisors, whose sum is σ = 154199036160. Its totient is φ = 11937792000.

The previous prime is 45561215701. The next prime is 45561216013. The reversal of 45561216000 is 61216554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22654995 + ... + 22657005.

Almost surely, 2^45561216000 is an apocalyptic number.

45561216000 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 45561216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77099518080).

45561216000 is an abundant number, since it is smaller than the sum of its proper divisors (108637820160).

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

45561216000 is a wasteful number, since it uses less digits than its factorization.

45561216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 45561216000 in words is "forty-five billion, five hundred sixty-one million, two hundred sixteen thousand".