19918297592064 has 189 divisors, whose sum is σ = 59616685258039. Its totient is φ = 6638789859840.

The previous prime is 19918297592057. The next prime is 19918297592077. The reversal of 19918297592064 is 46029579281991.

The square root of 19918297592064 is 4462992.

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

19918297592064 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 8 + 29 + 7 + 592 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19918297591983 and 19918297592001.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1928007379 + ... + 1928017709.

Almost surely, 2^{19918297592064} is an apocalyptic number.

19918297592064 is the 4462992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19918297592064

19918297592064 is an abundant number, since it is smaller than the sum of its proper divisors (39698387665975).

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

19918297592064 is an frugal number, since it uses more digits than its factorization.

19918297592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20696 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 19918297592064 in words is "nineteen trillion, nine hundred eighteen billion, two hundred ninety-seven million, five hundred ninety-two thousand, sixty-four".