45888192000 has 960 divisors, whose sum is σ = 199165824000. Its totient is φ = 9920102400.

The previous prime is 45888191941. The next prime is 45888192001. The reversal of 45888192000 is 29188854.

It is a happy number.

45888192000 is a `hidden beast` number, since 458 + 8 + 8 + 192 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45888192001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76607701 + ... + 76608299.

It is an arithmetic number, because the mean of its divisors is an integer number (207464400).

Almost surely, 2^45888192000 is an apocalyptic number.

45888192000 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 45888192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912000).

45888192000 is an abundant number, since it is smaller than the sum of its proper divisors (153277632000).

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

45888192000 is a wasteful number, since it uses less digits than its factorization.

45888192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 45888192000 in words is "forty-five billion, eight hundred eighty-eight million, one hundred ninety-two thousand".