45153412320 has 192 divisors, whose sum is σ = 148564523520. Its totient is φ = 11505973248.

The previous prime is 45153412319. The next prime is 45153412321. The reversal of 45153412320 is 2321435154.

It is an interprime number because it is at equal distance from previous prime (45153412319) and next prime (45153412321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45153412321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20720991 + ... + 20723169.

It is an arithmetic number, because the mean of its divisors is an integer number (773773560).

Almost surely, 2^45153412320 is an apocalyptic number.

45153412320 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 45153412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74282261760).

45153412320 is an abundant number, since it is smaller than the sum of its proper divisors (103411111200).

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

45153412320 is a wasteful number, since it uses less digits than its factorization.

45153412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 45153412320 its reverse (2321435154), we get a palindrome (47474847474).

The spelling of 45153412320 in words is "forty-five billion, one hundred fifty-three million, four hundred twelve thousand, three hundred twenty".