114651846144 has 320 divisors, whose sum is σ = 383011200000. Its totient is φ = 33543659520.

The previous prime is 114651846139. The next prime is 114651846151. The reversal of 114651846144 is 441648156411.

114651846144 is a `hidden beast` number, since 1 + 1 + 465 + 1 + 8 + 46 + 144 = 666.

It is a super-3 number, since 3×114651846144³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114651846144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4396857 + ... + 4422855.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910000).

Almost surely, 2^114651846144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114651846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600000).

114651846144 is an abundant number, since it is smaller than the sum of its proper divisors (268359353856).

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

114651846144 is a wasteful number, since it uses less digits than its factorization.

114651846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26066 (or 26044 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 114651846144 in words is "one hundred fourteen billion, six hundred fifty-one million, eight hundred forty-six thousand, one hundred forty-four".