45382952160 has 1152 divisors, whose sum is σ = 201196929024. Its totient is φ = 9405849600.

The previous prime is 45382952099. The next prime is 45382952213. The reversal of 45382952160 is 6125928354.

45382952160 is a `hidden beast` number, since 4 + 538 + 2 + 9 + 52 + 1 + 60 = 666.

It is a super-2 number, since 2×45382952160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357346017 + ... + 357346143.

It is an arithmetic number, because the mean of its divisors is an integer number (174650112).

Almost surely, 2^45382952160 is an apocalyptic number.

45382952160 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 45382952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100598464512).

45382952160 is an abundant number, since it is smaller than the sum of its proper divisors (155813976864).

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

45382952160 is a wasteful number, since it uses less digits than its factorization.

45382952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45382952160 in words is "forty-five billion, three hundred eighty-two million, nine hundred fifty-two thousand, one hundred sixty".