45618668160 has 256 divisors, whose sum is σ = 156831413760. Its totient is φ = 11212259328.

The previous prime is 45618668153. The next prime is 45618668189. The reversal of 45618668160 is 6186681654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27530052 + ... + 27531708.

It is an arithmetic number, because the mean of its divisors is an integer number (612622710).

Almost surely, 2^45618668160 is an apocalyptic number.

45618668160 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 45618668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78415706880).

45618668160 is an abundant number, since it is smaller than the sum of its proper divisors (111212745600).

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

45618668160 is a wasteful number, since it uses less digits than its factorization.

45618668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 45618668160 in words is "forty-five billion, six hundred eighteen million, six hundred sixty-eight thousand, one hundred sixty".