2137116465792 has 1024 divisors, whose sum is σ = 8188430745600. Its totient is φ = 536937984000.

The previous prime is 2137116465773. The next prime is 2137116465851. The reversal of 2137116465792 is 2975646117312.

2137116465792 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 1 + 64 + 6 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 998185042 + ... + 998187182.

It is an arithmetic number, because the mean of its divisors is an integer number (7996514400).

Almost surely, 2^{2137116465792} is an apocalyptic number.

2137116465792 is a gapful number since it is divisible by the number (22) 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 2137116465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094215372800).

2137116465792 is an abundant number, since it is smaller than the sum of its proper divisors (6051314279808).

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

2137116465792 is a wasteful number, since it uses less digits than its factorization.

2137116465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2195 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 2137116465792 in words is "two trillion, one hundred thirty-seven billion, one hundred sixteen million, four hundred sixty-five thousand, seven hundred ninety-two".