114968828362752 has 3240 divisors, whose sum is σ = 457005856690656. Its totient is φ = 28605822271488.

The previous prime is 114968828362733. The next prime is 114968828362769. The reversal of 114968828362752 is 257263828869411.

114968828362752 is a `hidden beast` number, since 1 + 1 + 496 + 8 + 8 + 2 + 8 + 3 + 62 + 75 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1574915456988 + ... + 1574915457060.

Almost surely, 2^{114968828362752} is an apocalyptic number.

114968828362752 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 114968828362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228502928345328).

114968828362752 is an abundant number, since it is smaller than the sum of its proper divisors (342037028327904).

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

114968828362752 is an frugal number, since it uses more digits than its factorization.

114968828362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 121 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 114968828362752 in words is "one hundred fourteen trillion, nine hundred sixty-eight billion, eight hundred twenty-eight million, three hundred sixty-two thousand, seven hundred fifty-two".