196082440667136 has 153 divisors (see below), whose sum is σ = 566487131731729. Its totient is φ = 65357228802048.

The previous prime is 196082440667129. The next prime is 196082440667153. The reversal of 196082440667136 is 631766044280691.

The square root of 196082440667136 is 14002944.

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

196082440667136 is a `hidden beast` number, since 1 + 9 + 60 + 8 + 2 + 440 + 66 + 71 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124609889894400 + 71472550772736 = 11162880^2 + 8454144^2 .

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, 10754251876 + ... + 10754270108.

Almost surely, 2^{196082440667136} is an apocalyptic number.

196082440667136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196082440667136 is the 14002944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196082440667136

196082440667136 is an abundant number, since it is smaller than the sum of its proper divisors (370404691064593).

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

196082440667136 is an frugal number, since it uses more digits than its factorization.

196082440667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36504 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 196082440667136 in words is "one hundred ninety-six trillion, eighty-two billion, four hundred forty million, six hundred sixty-seven thousand, one hundred thirty-six".