114514153344 has 48 divisors (see below), whose sum is σ = 329526408120. Its totient is φ = 38171384064.

The previous prime is 114514153337. The next prime is 114514153379. The reversal of 114514153344 is 443351415411.

114514153344 is a `hidden beast` number, since 1 + 1 + 45 + 1 + 41 + 533 + 44 = 666.

114514153344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114514153344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114514153299 and 114514153308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49701172 + ... + 49703475.

Almost surely, 2^114514153344 is an apocalyptic number.

It is an amenable number.

114514153344 is an abundant number, since it is smaller than the sum of its proper divisors (215012254776).

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

114514153344 is an equidigital number, since it uses as much as digits as its factorization.

114514153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99404667 (or 99404652 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 114514153344 its reverse (443351415411), we get a palindrome (557865568755).

The spelling of 114514153344 in words is "one hundred fourteen billion, five hundred fourteen million, one hundred fifty-three thousand, three hundred forty-four".