45937619459460 has 72 divisors (see below), whose sum is σ = 147540824861976. Its totient is φ = 11529441745920.

The previous prime is 45937619459429. The next prime is 45937619459491. The reversal of 45937619459460 is 6495491673954.

45937619459460 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 76 + 1 + 94 + 5 + 9 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (45937619459429) and next prime (45937619459491).

It can be written as a sum of positive squares in 4 ways, for example, as 2642061695364 + 43295557764096 = 1625442^2 + 6579936^2 .

It is a super-2 number, since 2×45937619459460² (a number of 28 digits) contains 22 as substring.

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, 7506143911 + ... + 7506150030.

It is an arithmetic number, because the mean of its divisors is an integer number (2049178123083).

Almost surely, 2^{45937619459460} is an apocalyptic number.

It is an amenable number.

45937619459460 is an abundant number, since it is smaller than the sum of its proper divisors (101603205402516).

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

45937619459460 is a wasteful number, since it uses less digits than its factorization.

45937619459460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012293973 (or 15012293968 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 45937619459460 in words is "forty-five trillion, nine hundred thirty-seven billion, six hundred nineteen million, four hundred fifty-nine thousand, four hundred sixty".