45321789112320 has 912 divisors, whose sum is σ = 171135531174528. Its totient is φ = 10210278113280.

The previous prime is 45321789112283. The next prime is 45321789112321. The reversal of 45321789112320 is 2321198712354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45321789112320.

It is not an unprimeable number, because it can be changed into a prime (45321789112321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13679982984 + ... + 13679986296.

It is an arithmetic number, because the mean of its divisors is an integer number (187648608744).

Almost surely, 2^{45321789112320} is an apocalyptic number.

45321789112320 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 45321789112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85567765587264).

45321789112320 is an abundant number, since it is smaller than the sum of its proper divisors (125813742062208).

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

45321789112320 is an frugal number, since it uses more digits than its factorization.

45321789112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 45321789112320 in words is "forty-five trillion, three hundred twenty-one billion, seven hundred eighty-nine million, one hundred twelve thousand, three hundred twenty".