114825133994688 has 448 divisors, whose sum is σ = 370917714083840. Its totient is φ = 35052544558080.

The previous prime is 114825133994611. The next prime is 114825133994707. The reversal of 114825133994688 is 886499331528411.

114825133994688 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 25 + 133 + 9 + 9 + 468 + 8 = 666.

It is a super-2 number, since 2×114825133994688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230838723 + ... + 231335613.

It is an arithmetic number, because the mean of its divisors is an integer number (827941326080).

Almost surely, 2^{114825133994688} is an apocalyptic number.

114825133994688 is a gapful number since it is divisible by the number (18) 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 114825133994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185458857041920).

114825133994688 is an abundant number, since it is smaller than the sum of its proper divisors (256092580089152).

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

114825133994688 is an equidigital number, since it uses as much as digits as its factorization.

114825133994688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497064 (or 497036 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 114825133994688 in words is "one hundred fourteen trillion, eight hundred twenty-five billion, one hundred thirty-three million, nine hundred ninety-four thousand, six hundred eighty-eight".