12611164271724 has 96 divisors (see below), whose sum is σ = 32934184819200. Its totient is φ = 4173053826240.

The previous prime is 12611164271711. The next prime is 12611164271737. The reversal of 12611164271724 is 42717246111621.

It is a happy number.

12611164271724 is a `hidden beast` number, since 1 + 2 + 611 + 1 + 6 + 4 + 2 + 7 + 1 + 7 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (12611164271711) and next prime (12611164271737).

It is a self number, because there is not a number n which added to its sum of digits gives 12611164271724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169853689 + ... + 169927919.

It is an arithmetic number, because the mean of its divisors is an integer number (343064425200).

Almost surely, 2^{12611164271724} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12611164271724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467092409600).

12611164271724 is an abundant number, since it is smaller than the sum of its proper divisors (20323020547476).

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

12611164271724 is a wasteful number, since it uses less digits than its factorization.

12611164271724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85700 (or 85692 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 12611164271724 in words is "twelve trillion, six hundred eleven billion, one hundred sixty-four million, two hundred seventy-one thousand, seven hundred twenty-four".