114456215456 has 72 divisors (see below), whose sum is σ = 250136175492. Its totient is φ = 51510272000.

The previous prime is 114456215437. The next prime is 114456215491. The reversal of 114456215456 is 654512654411.

It can be written as a sum of positive squares in 2 ways, for example, as 113625623056 + 830592400 = 337084^2 + 28820^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244736 + ... + 537408.

Almost surely, 2^114456215456 is an apocalyptic number.

114456215456 is a gapful number since it is divisible by the number (16) 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 114456215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125068087746).

114456215456 is an abundant number, since it is smaller than the sum of its proper divisors (135679960036).

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

114456215456 is a wasteful number, since it uses less digits than its factorization.

114456215456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292806 (or 292787 counting only the distinct ones).

The product of its digits is 576000, while the sum is 44.

Adding to 114456215456 its reverse (654512654411), we get a palindrome (768968869867).

The spelling of 114456215456 in words is "one hundred fourteen billion, four hundred fifty-six million, two hundred fifteen thousand, four hundred fifty-six".