17619912921664 has 21 divisors (see below), whose sum is σ = 34964581341081. Its totient is φ = 8809939670400.

The previous prime is 17619912921617. The next prime is 17619912921719. The reversal of 17619912921664 is 46612921991671.

The square root of 17619912921664 is 4197608.

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., 13104457920064 + 4515455001600 = 3620008^2 + 2124960^2 .

It is a super-2 number, since 2×17619912921664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17619912921596 and 17619912921605.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33318514 + ... + 33843214.

It is an arithmetic number, because the mean of its divisors is an integer number (1664980063861).

Almost surely, 2^{17619912921664} is an apocalyptic number.

17619912921664 is the 4197608-th square number.

It is an amenable number.

17619912921664 is a deficient number, since it is larger than the sum of its proper divisors (17344668419417).

17619912921664 is an frugal number, since it uses more digits than its factorization.

17619912921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049414 (or 524703 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 64.

17619912921664 divided by its sum of digits (64) gives a square (275311139401 = 524701²).

The spelling of 17619912921664 in words is "seventeen trillion, six hundred nineteen billion, nine hundred twelve million, nine hundred twenty-one thousand, six hundred sixty-four".