114835773380160 has 896 divisors, whose sum is σ = 449826278400000. Its totient is φ = 24741467283456.

The previous prime is 114835773380063. The next prime is 114835773380389. The reversal of 114835773380160 is 61083377538411.

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 114835773380160.

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, 1244961562 + ... + 1245053798.

Almost surely, 2^{114835773380160} is an apocalyptic number.

114835773380160 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 114835773380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224913139200000).

114835773380160 is an abundant number, since it is smaller than the sum of its proper divisors (334990505019840).

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

114835773380160 is a wasteful number, since it uses less digits than its factorization.

114835773380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92496 (or 92472 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 114835773380160 in words is "one hundred fourteen trillion, eight hundred thirty-five billion, seven hundred seventy-three million, three hundred eighty thousand, one hundred sixty".