45357516160 has 256 divisors, whose sum is σ = 123929118720. Its totient is φ = 15713280000.

The previous prime is 45357516119. The next prime is 45357516163. The reversal of 45357516160 is 6161575354.

It is a super-2 number, since 2×45357516160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45357516163) 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, 60395785 + ... + 60396535.

It is an arithmetic number, because the mean of its divisors is an integer number (484098120).

Almost surely, 2^45357516160 is an apocalyptic number.

45357516160 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 45357516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61964559360).

45357516160 is an abundant number, since it is smaller than the sum of its proper divisors (78571602560).

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

45357516160 is a wasteful number, since it uses less digits than its factorization.

45357516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 45357516160 in words is "forty-five billion, three hundred fifty-seven million, five hundred sixteen thousand, one hundred sixty".