45352466352 has 120 divisors (see below), whose sum is σ = 131813594640. Its totient is φ = 15116544000.

The previous prime is 45352466311. The next prime is 45352466407. The reversal of 45352466352 is 25366425354.

45352466352 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 2 + 4 + 6 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45352466298 and 45352466307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2826352 + ... + 2842352.

It is an arithmetic number, because the mean of its divisors is an integer number (1098446622).

Almost surely, 2^45352466352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45352466352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65906797320).

45352466352 is an abundant number, since it is smaller than the sum of its proper divisors (86461128288).

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

45352466352 is an frugal number, since it uses more digits than its factorization.

45352466352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16042 (or 16006 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 45352466352 in words is "forty-five billion, three hundred fifty-two million, four hundred sixty-six thousand, three hundred fifty-two".