45970338384 has 240 divisors, whose sum is σ = 138455937360. Its totient is φ = 14187233280.

The previous prime is 45970338383. The next prime is 45970338413. The reversal of 45970338384 is 48383307954.

45970338384 is a `hidden beast` number, since 459 + 7 + 0 + 33 + 83 + 84 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1713960000 + 44256378384 = 41400^2 + 210372^2 .

It is a super-2 number, since 2×45970338384² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45970338384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45970338383) 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, 55992694 + ... + 55993514.

It is an arithmetic number, because the mean of its divisors is an integer number (576899739).

Almost surely, 2^45970338384 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 45970338384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69227968680).

45970338384 is an abundant number, since it is smaller than the sum of its proper divisors (92485598976).

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

45970338384 is a wasteful number, since it uses less digits than its factorization.

45970338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45970338384 in words is "forty-five billion, nine hundred seventy million, three hundred thirty-eight thousand, three hundred eighty-four".