1915688519056 has 135 divisors (see below), whose sum is σ = 4121419937409. Its totient is φ = 862206823296.

The previous prime is 1915688518907. The next prime is 1915688519111. The reversal of 1915688519056 is 6509158865191.

It is a happy number.

The square root of 1915688519056 is 1384084.

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., 283385875600 + 1632302643456 = 532340^2 + 1277616^2 .

It is a super-2 number, since 2×1915688519056² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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, 3094811515 + ... + 3094812133.

Almost surely, 2^{1915688519056} is an apocalyptic number.

1915688519056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1915688519056 is the 1384084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1915688519056

1915688519056 is an abundant number, since it is smaller than the sum of its proper divisors (2205731418353).

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

1915688519056 is an frugal number, since it uses more digits than its factorization.

1915688519056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 64.

Multiplying 1915688519056 by its sum of digits (64), we get a square (122604065219584 = 11072672²).

The spelling of 1915688519056 in words is "one trillion, nine hundred fifteen billion, six hundred eighty-eight million, five hundred nineteen thousand, fifty-six".