114420978524160 has 1344 divisors, whose sum is σ = 506572480237824. Its totient is φ = 23195654553600.

The previous prime is 114420978524141. The next prime is 114420978524191. The reversal of 114420978524160 is 61425879024411.

114420978524160 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 20 + 97 + 8 + 524 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 114420978524097 and 114420978524106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163747322 + ... + 1163845638.

It is an arithmetic number, because the mean of its divisors is an integer number (376914047796).

Almost surely, 2^{114420978524160} is an apocalyptic number.

114420978524160 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 114420978524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253286240118912).

114420978524160 is an abundant number, since it is smaller than the sum of its proper divisors (392151501713664).

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

114420978524160 is a wasteful number, since it uses less digits than its factorization.

114420978524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98413 (or 98386 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 114420978524160 in words is "one hundred fourteen trillion, four hundred twenty billion, nine hundred seventy-eight million, five hundred twenty-four thousand, one hundred sixty".