114511186734144 has 224 divisors, whose sum is σ = 323229441830400. Its totient is φ = 35653178695680.

The previous prime is 114511186734047. The next prime is 114511186734211. The reversal of 114511186734144 is 441437681115411.

It is a super-2 number, since 2×114511186734144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1238997567 + ... + 1239089985.

It is an arithmetic number, because the mean of its divisors is an integer number (1442988579600).

Almost surely, 2^{114511186734144} 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 114511186734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161614720915200).

114511186734144 is an abundant number, since it is smaller than the sum of its proper divisors (208718255096256).

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

114511186734144 is a wasteful number, since it uses less digits than its factorization.

114511186734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95321 (or 95311 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The spelling of 114511186734144 in words is "one hundred fourteen trillion, five hundred eleven billion, one hundred eighty-six million, seven hundred thirty-four thousand, one hundred forty-four".