114364852224 has 288 divisors, whose sum is σ = 364299193440. Its totient is φ = 31789449216.

The previous prime is 114364852183. The next prime is 114364852229. The reversal of 114364852224 is 422258463411.

It is a super-3 number, since 3×114364852224³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114364852229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11133939 + ... + 11144205.

It is an arithmetic number, because the mean of its divisors is an integer number (1264927755).

Almost surely, 2^114364852224 is an apocalyptic number.

114364852224 is a gapful number since it is divisible by the number (14) 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 114364852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182149596720).

114364852224 is an abundant number, since it is smaller than the sum of its proper divisors (249934341216).

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

114364852224 is a wasteful number, since it uses less digits than its factorization.

114364852224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343 (or 10316 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 114364852224 in words is "one hundred fourteen billion, three hundred sixty-four million, eight hundred fifty-two thousand, two hundred twenty-four".