2156313311064 has 384 divisors, whose sum is σ = 6638300697600. Its totient is φ = 626351201280.

The previous prime is 2156313311059. The next prime is 2156313311129. The reversal of 2156313311064 is 4601133136512.

2156313311064 is a `hidden beast` number, since 2 + 1 + 5 + 631 + 3 + 3 + 1 + 10 + 6 + 4 = 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2941764042 + ... + 2941764774.

It is an arithmetic number, because the mean of its divisors is an integer number (17287241400).

Almost surely, 2^{2156313311064} is an apocalyptic number.

2156313311064 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 2156313311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319150348800).

2156313311064 is an abundant number, since it is smaller than the sum of its proper divisors (4481987386536).

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

2156313311064 is a wasteful number, since it uses less digits than its factorization.

2156313311064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 2156313311064 its reverse (4601133136512), we get a palindrome (6757446447576).

The spelling of 2156313311064 in words is "two trillion, one hundred fifty-six billion, three hundred thirteen million, three hundred eleven thousand, sixty-four".