45160416000 has 1440 divisors, whose sum is σ = 203715832320. Its totient is φ = 9704448000.

The previous prime is 45160415983. The next prime is 45160416047. The reversal of 45160416000 is 61406154.

45160416000 is a `hidden beast` number, since 4 + 5 + 16 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 344735935 + ... + 344736065.

It is an arithmetic number, because the mean of its divisors is an integer number (141469328).

Almost surely, 2^45160416000 is an apocalyptic number.

45160416000 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 45160416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101857916160).

45160416000 is an abundant number, since it is smaller than the sum of its proper divisors (158555416320).

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

45160416000 is a wasteful number, since it uses less digits than its factorization.

45160416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 45160416000 in words is "forty-five billion, one hundred sixty million, four hundred sixteen thousand".