45974312350096 has 135 divisors (see below), whose sum is σ = 97692528750177. Its totient is φ = 20949919935360.

The previous prime is 45974312350081. The next prime is 45974312350117. The reversal of 45974312350096 is 69005321347954.

The square root of 45974312350096 is 6780436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6800933779600 + 39173378570496 = 2607860^2 + 6258864^2 .

It is a super-2 number, since 2×45974312350096² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45974312350096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29264360991 + ... + 29264362561.

Almost surely, 2^{45974312350096} is an apocalyptic number.

45974312350096 is the 6780436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45974312350096

45974312350096 is an abundant number, since it is smaller than the sum of its proper divisors (51718216400081).

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

45974312350096 is an frugal number, since it uses more digits than its factorization.

45974312350096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 45974312350096 in words is "forty-five trillion, nine hundred seventy-four billion, three hundred twelve million, three hundred fifty thousand, ninety-six".