45384192000 has 1248 divisors, whose sum is σ = 198109491840. Its totient is φ = 10218700800.

The previous prime is 45384191999. The next prime is 45384192071. The reversal of 45384192000 is 29148354.

45384192000 is a `hidden beast` number, since 4 + 5 + 38 + 419 + 200 + 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 95 ways as a sum of consecutive naturals, for example, 677375967 + ... + 677376033.

It is an arithmetic number, because the mean of its divisors is an integer number (158741580).

Almost surely, 2^45384192000 is an apocalyptic number.

45384192000 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 45384192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99054745920).

45384192000 is an abundant number, since it is smaller than the sum of its proper divisors (152725299840).

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

45384192000 is an equidigital number, since it uses as much as digits as its factorization.

45384192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45384192000 in words is "forty-five billion, three hundred eighty-four million, one hundred ninety-two thousand".