193961997496576 has 81 divisors (see below), whose sum is σ = 390673619532469. Its totient is φ = 96110281207808.

The previous prime is 193961997496537. The next prime is 193961997496607. The reversal of 193961997496576 is 675694799169391.

The square root of 193961997496576 is 13927024.

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., 3417765638400 + 190544231858176 = 1848720^2 + 13803776^2 .

It is a super-2 number, since 2×193961997496576² (a number of 29 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 8 ways as a sum of consecutive naturals, for example, 25180055541 + ... + 25180063243.

Almost surely, 2^{193961997496576} is an apocalyptic number.

193961997496576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193961997496576 is the 13927024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193961997496576

193961997496576 is an abundant number, since it is smaller than the sum of its proper divisors (196711622035893).

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

193961997496576 is an frugal number, since it uses more digits than its factorization.

193961997496576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648 (or 7818 counting only the distinct ones).

The product of its digits is 37498476960, while the sum is 91.

The spelling of 193961997496576 in words is "one hundred ninety-three trillion, nine hundred sixty-one billion, nine hundred ninety-seven million, four hundred ninety-six thousand, five hundred seventy-six".