6112657919641 has 81 divisors (see below), whose sum is σ = 7805696640183. Its totient is φ = 4770702518400.

The previous prime is 6112657919639. The next prime is 6112657919713. The reversal of 6112657919641 is 1469197562116.

It is a happy number.

The square root of 6112657919641 is 2472379.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4932818790025 + 1179839129616 = 2220995^2 + 1086204^2 .

It is not a de Polignac number, because 6112657919641 - 2¹ = 6112657919639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6112657916641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22723635255 + ... + 22723635523.

Almost surely, 2^{6112657919641} is an apocalyptic number.

6112657919641 is the 2472379-th square number.

6112657919641 is the 1236190-th centered octagonal number.

It is an amenable number.

6112657919641 is a deficient number, since it is larger than the sum of its proper divisors (1693038720542).

6112657919641 is an equidigital number, since it uses as much as digits as its factorization.

6112657919641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 58.

The spelling of 6112657919641 in words is "six trillion, one hundred twelve billion, six hundred fifty-seven million, nine hundred nineteen thousand, six hundred forty-one".