114436169664 has 448 divisors, whose sum is σ = 348671692800. Its totient is φ = 32926924800.

The previous prime is 114436169663. The next prime is 114436169677. The reversal of 114436169664 is 466961634411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114436169663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173125494 + ... + 173126154.

Almost surely, 2^114436169664 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 114436169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174335846400).

114436169664 is an abundant number, since it is smaller than the sum of its proper divisors (234235523136).

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

114436169664 is a wasteful number, since it uses less digits than its factorization.

114436169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 114436169664 in words is "one hundred fourteen billion, four hundred thirty-six million, one hundred sixty-nine thousand, six hundred sixty-four".