114572072887488 has 280 divisors, whose sum is σ = 360554537970000. Its totient is φ = 35849329754112.

The previous prime is 114572072887483. The next prime is 114572072887499. The reversal of 114572072887488 is 884788270275411.

114572072887488 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 72 + 0 + 72 + 8 + 8 + 7 + 488 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114572072887483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31685388 + ... + 35115636.

Almost surely, 2^{114572072887488} is an apocalyptic number.

114572072887488 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 114572072887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180277268985000).

114572072887488 is an abundant number, since it is smaller than the sum of its proper divisors (245982465082512).

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

114572072887488 is a wasteful number, since it uses less digits than its factorization.

114572072887488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430669 (or 3430650 counting only the distinct ones).

The product of its (nonzero) digits is 449576960, while the sum is 72.

The spelling of 114572072887488 in words is "one hundred fourteen trillion, five hundred seventy-two billion, seventy-two million, eight hundred eighty-seven thousand, four hundred eighty-eight".