114356624928 has 288 divisors, whose sum is σ = 379593635904. Its totient is φ = 29876410368.

The previous prime is 114356624917. The next prime is 114356624929. The reversal of 114356624928 is 829426653411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114356624929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6534526 + ... + 6552002.

It is an arithmetic number, because the mean of its divisors is an integer number (1318033458).

Almost surely, 2^114356624928 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 114356624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189796817952).

114356624928 is an abundant number, since it is smaller than the sum of its proper divisors (265237010976).

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

114356624928 is a wasteful number, since it uses less digits than its factorization.

114356624928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17624 (or 17609 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 114356624928 in words is "one hundred fourteen billion, three hundred fifty-six million, six hundred twenty-four thousand, nine hundred twenty-eight".