114591249928704 has 480 divisors, whose sum is σ = 334574652601728. Its totient is φ = 34730577100800.

The previous prime is 114591249928703. The next prime is 114591249928741. The reversal of 114591249928704 is 407829942195411.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114591249928703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15834078174 + ... + 15834085410.

Almost surely, 2^{114591249928704} 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 114591249928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167287326300864).

114591249928704 is an abundant number, since it is smaller than the sum of its proper divisors (219983402673024).

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

114591249928704 is an equidigital number, since it uses as much as digits as its factorization.

114591249928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 114591249928704 in words is "one hundred fourteen trillion, five hundred ninety-one billion, two hundred forty-nine million, nine hundred twenty-eight thousand, seven hundred four".