2114535107160 has 512 divisors, whose sum is σ = 8256747571200. Its totient is φ = 471383193600.

The previous prime is 2114535107149. The next prime is 2114535107233. The reversal of 2114535107160 is 617015354112.

2114535107160 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 535 + 107 + 16 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51137854 + ... + 51179186.

It is an arithmetic number, because the mean of its divisors is an integer number (16126460100).

Almost surely, 2^{2114535107160} is an apocalyptic number.

2114535107160 is a gapful number since it is divisible by the number (20) 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 2114535107160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128373785600).

2114535107160 is an abundant number, since it is smaller than the sum of its proper divisors (6142212464040).

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

2114535107160 is a wasteful number, since it uses less digits than its factorization.

2114535107160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41528 (or 41518 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 2114535107160 in words is "two trillion, one hundred fourteen billion, five hundred thirty-five million, one hundred seven thousand, one hundred sixty".