45816192000 has 616 divisors, whose sum is σ = 171722698992. Its totient is φ = 12192768000.

The previous prime is 45816191951. The next prime is 45816192017. The reversal of 45816192000 is 29161854.

45816192000 is a `hidden beast` number, since 458 + 16 + 192 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311755 + ... + 93312245.

Almost surely, 2^45816192000 is an apocalyptic number.

45816192000 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 45816192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85861349496).

45816192000 is an abundant number, since it is smaller than the sum of its proper divisors (125906506992).

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

45816192000 is an frugal number, since it uses more digits than its factorization.

45816192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 45816192000 in words is "forty-five billion, eight hundred sixteen million, one hundred ninety-two thousand".