114014239958752 has 144 divisors (see below), whose sum is σ = 261418785965568. Its totient is φ = 48806052422400.

The previous prime is 114014239958659. The next prime is 114014239958789. The reversal of 114014239958752 is 257859932410411.

It is a super-2 number, since 2×114014239958752² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977254883 + ... + 4977277789.

It is an arithmetic number, because the mean of its divisors is an integer number (1815408235872).

Almost surely, 2^{114014239958752} 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 114014239958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130709392982784).

114014239958752 is an abundant number, since it is smaller than the sum of its proper divisors (147404546006816).

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

114014239958752 is a wasteful number, since it uses less digits than its factorization.

114014239958752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 114014239958752 in words is "one hundred fourteen trillion, fourteen billion, two hundred thirty-nine million, nine hundred fifty-eight thousand, seven hundred fifty-two".