45732192000 has 864 divisors, whose sum is σ = 173706903552. Its totient is φ = 10644480000.

The previous prime is 45732191971. The next prime is 45732192019. The reversal of 45732192000 is 29123754.

45732192000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 360095937 + ... + 360096063.

Almost surely, 2^45732192000 is an apocalyptic number.

45732192000 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 45732192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86853451776).

45732192000 is an abundant number, since it is smaller than the sum of its proper divisors (127974711552).

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

45732192000 is a wasteful number, since it uses less digits than its factorization.

45732192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 45732 and 192000, that added together give a palindrome (237732).

The spelling of 45732192000 in words is "forty-five billion, seven hundred thirty-two million, one hundred ninety-two thousand".