114118031796960 has 768 divisors, whose sum is σ = 393348449894400. Its totient is φ = 27704059084800.

The previous prime is 114118031796953. The next prime is 114118031797061. The reversal of 114118031796960 is 69697130811411.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 114118031796960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24389403901 + ... + 24389408579.

It is an arithmetic number, because the mean of its divisors is an integer number (512172460800).

Almost surely, 2^{114118031796960} is an apocalyptic number.

114118031796960 is a gapful number since it is divisible by the number (10) 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 114118031796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196674224947200).

114118031796960 is an abundant number, since it is smaller than the sum of its proper divisors (279230418097440).

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

114118031796960 is a wasteful number, since it uses less digits than its factorization.

114118031796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 114118031796960 in words is "one hundred fourteen trillion, one hundred eighteen billion, thirty-one million, seven hundred ninety-six thousand, nine hundred sixty".