45946754568 has 384 divisors, whose sum is σ = 152216064000. Its totient is φ = 12333565440.

The previous prime is 45946754561. The next prime is 45946754599. The reversal of 45946754568 is 86545764954.

45946754568 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 67 + 5 + 4 + 568 = 666.

It is a super-2 number, since 2×45946754568² (a number of 22 digits) contains 22 as substring.

Its product of digits (145152000) is a multiple of the sum of its prime divisors (1890).

It is not an unprimeable number, because it can be changed into a prime (45946754561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26120073 + ... + 26121831.

It is an arithmetic number, because the mean of its divisors is an integer number (396396000).

Almost surely, 2^45946754568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45946754568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76108032000).

45946754568 is an abundant number, since it is smaller than the sum of its proper divisors (106269309432).

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

45946754568 is a wasteful number, since it uses less digits than its factorization.

45946754568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1890 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 45946754568 in words is "forty-five billion, nine hundred forty-six million, seven hundred fifty-four thousand, five hundred sixty-eight".