114102451216 has 80 divisors (see below), whose sum is σ = 244896825600. Its totient is φ = 51170770944.

The previous prime is 114102451213. The next prime is 114102451219. The reversal of 114102451216 is 612154201411.

It is an interprime number because it is at equal distance from previous prime (114102451213) and next prime (114102451219).

It is not an unprimeable number, because it can be changed into a prime (114102451213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316880 + ... + 1400848.

It is an arithmetic number, because the mean of its divisors is an integer number (3061210320).

Almost surely, 2^114102451216 is an apocalyptic number.

114102451216 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 114102451216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122448412800).

114102451216 is an abundant number, since it is smaller than the sum of its proper divisors (130794374384).

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

114102451216 is a wasteful number, since it uses less digits than its factorization.

114102451216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84176 (or 84170 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 114102451216 its reverse (612154201411), we get a palindrome (726256652627).

The spelling of 114102451216 in words is "one hundred fourteen billion, one hundred two million, four hundred fifty-one thousand, two hundred sixteen".