45974771712 has 288 divisors, whose sum is σ = 145160346240. Its totient is φ = 13955235840.

The previous prime is 45974771693. The next prime is 45974771723. The reversal of 45974771712 is 21717747954.

45974771712 is a `hidden beast` number, since 4 + 597 + 47 + 7 + 1 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45974771712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9711298 + ... + 9716030.

It is an arithmetic number, because the mean of its divisors is an integer number (504028980).

Almost surely, 2^45974771712 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 45974771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72580173120).

45974771712 is an abundant number, since it is smaller than the sum of its proper divisors (99185574528).

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

45974771712 is a wasteful number, since it uses less digits than its factorization.

45974771712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4786 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The spelling of 45974771712 in words is "forty-five billion, nine hundred seventy-four million, seven hundred seventy-one thousand, seven hundred twelve".