2357111664 has 120 divisors (see below), whose sum is σ = 6987052800. Its totient is φ = 768927168.

The previous prime is 2357111651. The next prime is 2357111681. The reversal of 2357111664 is 4661117532.

2357111664 is a `hidden beast` number, since 23 + 571 + 1 + 1 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176287 + ... + 189185.

It is an arithmetic number, because the mean of its divisors is an integer number (58225440).

Almost surely, 2^2357111664 is an apocalyptic number.

2357111664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2357111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493526400).

2357111664 is an abundant number, since it is smaller than the sum of its proper divisors (4629941136).

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

2357111664 is a wasteful number, since it uses less digits than its factorization.

2357111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969 (or 12951 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2357111664 is about 48550.0943768393. The cubic root of 2357111664 is about 1330.8426762563.

The spelling of 2357111664 in words is "two billion, three hundred fifty-seven million, one hundred eleven thousand, six hundred sixty-four".