45602607168 has 336 divisors, whose sum is σ = 141391111680. Its totient is φ = 14001242112.

The previous prime is 45602607157. The next prime is 45602607191. The reversal of 45602607168 is 86170620654.

45602607168 is a `hidden beast` number, since 4 + 560 + 26 + 0 + 7 + 1 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129185680 + ... + 129186032.

It is an arithmetic number, because the mean of its divisors is an integer number (420806880).

Almost surely, 2^45602607168 is an apocalyptic number.

45602607168 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 45602607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70695555840).

45602607168 is an abundant number, since it is smaller than the sum of its proper divisors (95788504512).

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

45602607168 is a wasteful number, since it uses less digits than its factorization.

45602607168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45602607168 in words is "forty-five billion, six hundred two million, six hundred seven thousand, one hundred sixty-eight".