45924346720 has 768 divisors, whose sum is σ = 146940272640. Its totient is φ = 13186105344.

The previous prime is 45924346687. The next prime is 45924346733. The reversal of 45924346720 is 2764342954.

45924346720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629100604 + ... + 629100676.

It is an arithmetic number, because the mean of its divisors is an integer number (191328480).

Almost surely, 2^45924346720 is an apocalyptic number.

45924346720 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 45924346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73470136320).

45924346720 is an abundant number, since it is smaller than the sum of its proper divisors (101015925920).

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

45924346720 is a wasteful number, since it uses less digits than its factorization.

45924346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 45924346720 in words is "forty-five billion, nine hundred twenty-four million, three hundred forty-six thousand, seven hundred twenty".