114224785920 has 1440 divisors, whose sum is σ = 495141558912. Its totient is φ = 24206966784.

The previous prime is 114224785889. The next prime is 114224785921. The reversal of 114224785920 is 29587422411.

114224785920 is a `hidden beast` number, since 1 + 14 + 2 + 2 + 47 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114224785921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1376202199 + ... + 1376202281.

Almost surely, 2^114224785920 is an apocalyptic number.

114224785920 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 114224785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247570779456).

114224785920 is an abundant number, since it is smaller than the sum of its proper divisors (380916772992).

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

114224785920 is a wasteful number, since it uses less digits than its factorization.

114224785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 114224785920 in words is "one hundred fourteen billion, two hundred twenty-four million, seven hundred eighty-five thousand, nine hundred twenty".