114582842075520 has 1536 divisors, whose sum is σ = 509291971977600. Its totient is φ = 24132483809280.

The previous prime is 114582842075491. The next prime is 114582842075531. The reversal of 114582842075520 is 25570248285411.

114582842075520 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 8 + 2 + 8 + 42 + 0 + 75 + 520 = 666.

It is a super-2 number, since 2×114582842075520² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6351237700 + ... + 6351255740.

Almost surely, 2^{114582842075520} is an apocalyptic number.

114582842075520 is a gapful number since it is divisible by the number (10) 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 114582842075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254645985988800).

114582842075520 is an abundant number, since it is smaller than the sum of its proper divisors (394709129902080).

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

114582842075520 is a wasteful number, since it uses less digits than its factorization.

114582842075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18673 (or 18648 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 114582842075520 in words is "one hundred fourteen trillion, five hundred eighty-two billion, eight hundred forty-two million, seventy-five thousand, five hundred twenty".