114302213115552 has 1152 divisors, whose sum is σ = 430353805593600. Its totient is φ = 29181793536000.

The previous prime is 114302213115539. The next prime is 114302213115617. The reversal of 114302213115552 is 255511312203411.

114302213115552 is a `hidden beast` number, since 1 + 1 + 43 + 0 + 2 + 21 + 31 + 15 + 552 = 666.

It is a super-2 number, since 2×114302213115552² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6537897403 + ... + 6537914885.

It is an arithmetic number, because the mean of its divisors is an integer number (373571011800).

Almost surely, 2^{114302213115552} is an apocalyptic number.

114302213115552 is a gapful number since it is divisible by the number (12) 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 114302213115552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215176902796800).

114302213115552 is an abundant number, since it is smaller than the sum of its proper divisors (316051592478048).

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

114302213115552 is a wasteful number, since it uses less digits than its factorization.

114302213115552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17767 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 114302213115552 its reverse (255511312203411), we get a palindrome (369813525318963).

The spelling of 114302213115552 in words is "one hundred fourteen trillion, three hundred two billion, two hundred thirteen million, one hundred fifteen thousand, five hundred fifty-two".