114137082888192 has 2160 divisors, whose sum is σ = 436807421107200. Its totient is φ = 28566582460416.

The previous prime is 114137082888139. The next prime is 114137082888223. The reversal of 114137082888192 is 291888280731411.

114137082888192 is a `hidden beast` number, since 1 + 1 + 413 + 7 + 0 + 8 + 28 + 8 + 8 + 192 = 666.

It is a super-2 number, since 2×114137082888192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 898717188033 + ... + 898717188159.

It is an arithmetic number, because the mean of its divisors is an integer number (202225657920).

Almost surely, 2^{114137082888192} is an apocalyptic number.

114137082888192 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 114137082888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218403710553600).

114137082888192 is an abundant number, since it is smaller than the sum of its proper divisors (322670338219008).

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

114137082888192 is an equidigital number, since it uses as much as digits as its factorization.

114137082888192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 114137082888192 in words is "one hundred fourteen trillion, one hundred thirty-seven billion, eighty-two million, eight hundred eighty-eight thousand, one hundred ninety-two".