45970517736 has 320 divisors, whose sum is σ = 151891629120. Its totient is φ = 12806138880.

The previous prime is 45970517729. The next prime is 45970517759. The reversal of 45970517736 is 63771507954.

45970517736 is a `hidden beast` number, since 4 + 5 + 97 + 0 + 517 + 7 + 36 = 666.

45970517736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45970517736² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26223036 + ... + 26224788.

It is an arithmetic number, because the mean of its divisors is an integer number (474661341).

Almost surely, 2^45970517736 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 45970517736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75945814560).

45970517736 is an abundant number, since it is smaller than the sum of its proper divisors (105921111384).

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

45970517736 is a wasteful number, since it uses less digits than its factorization.

45970517736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 45970517736 in words is "forty-five billion, nine hundred seventy million, five hundred seventeen thousand, seven hundred thirty-six".