114142664982528 has 1500 divisors, whose sum is σ = 427965561004608. Its totient is φ = 29679566192640.

The previous prime is 114142664982473. The next prime is 114142664982539. The reversal of 114142664982528 is 825289466241411.

114142664982528 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 2 + 66 + 49 + 8 + 2 + 528 = 666.

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

Its product of digits (53084160) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1607643168733 + ... + 1607643168803.

Almost surely, 2^{114142664982528} is an apocalyptic number.

114142664982528 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 114142664982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213982780502304).

114142664982528 is an abundant number, since it is smaller than the sum of its proper divisors (313822896022080).

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

114142664982528 is an frugal number, since it uses more digits than its factorization.

114142664982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 96 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 114142664982528 in words is "one hundred fourteen trillion, one hundred forty-two billion, six hundred sixty-four million, nine hundred eighty-two thousand, five hundred twenty-eight".