114985785600 has 540 divisors, whose sum is σ = 485906580544. Its totient is φ = 26281635840.

The previous prime is 114985785599. The next prime is 114985785661. The reversal of 114985785600 is 6587589411.

It is a happy number.

114985785600 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 8 + 5 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×114985785600³ (a number of 34 digits) contains 333 as substring.

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

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, 3612957 + ... + 3644643.

Almost surely, 2^114985785600 is an apocalyptic number.

114985785600 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 114985785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242953290272).

114985785600 is an abundant number, since it is smaller than the sum of its proper divisors (370920794944).

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

114985785600 is an equidigital number, since it uses as much as digits as its factorization.

114985785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31732 (or 31704 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 114985785600 in words is "one hundred fourteen billion, nine hundred eighty-five million, seven hundred eighty-five thousand, six hundred".