46157919657444 has 81 divisors (see below), whose sum is σ = 135727102814121. Its totient is φ = 13187895517440.

The previous prime is 46157919657427. The next prime is 46157919657461. The reversal of 46157919657444 is 44475691975164.

The square root of 46157919657444 is 6793962.

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

46157919657444 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 7 + 9 + 1 + 9 + 6 + 574 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (46157919657427) and next prime (46157919657461).

It can be written as a sum of positive squares in only one way, i.e., 21562668047844 + 24595251609600 = 4643562^2 + 4959360^2 .

It is a super-2 number, since 2×46157919657444² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 285265524 + ... + 285427284.

Almost surely, 2^{46157919657444} is an apocalyptic number.

46157919657444 is the 6793962-nd square number.

It is an amenable number.

46157919657444 is an abundant number, since it is smaller than the sum of its proper divisors (89569183156677).

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

46157919657444 is an frugal number, since it uses more digits than its factorization.

46157919657444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323546 (or 161773 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 46157919657444 in words is "forty-six trillion, one hundred fifty-seven billion, nine hundred nineteen million, six hundred fifty-seven thousand, four hundred forty-four".