45807447168 has 384 divisors, whose sum is σ = 161595907200. Its totient is φ = 12162908160.

The previous prime is 45807447163. The next prime is 45807447227. The reversal of 45807447168 is 86174470854.

45807447168 is a `hidden beast` number, since 4 + 580 + 7 + 4 + 47 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45807447168² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45807447163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8117628 + ... + 8123268.

It is an arithmetic number, because the mean of its divisors is an integer number (420822675).

Almost surely, 2^45807447168 is an apocalyptic number.

45807447168 is a gapful number since it is divisible by the number (48) 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 45807447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80797953600).

45807447168 is an abundant number, since it is smaller than the sum of its proper divisors (115788460032).

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

45807447168 is a wasteful number, since it uses less digits than its factorization.

45807447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 45807447168 in words is "forty-five billion, eight hundred seven million, four hundred forty-seven thousand, one hundred sixty-eight".