114220730880 has 240 divisors, whose sum is σ = 410231805984. Its totient is φ = 30458695680.

The previous prime is 114220730879. The next prime is 114220730957. The reversal of 114220730880 is 88037022411.

114220730880 is a `hidden beast` number, since 1 + 142 + 207 + 308 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114220730880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530275 + ... + 713885.

Almost surely, 2^114220730880 is an apocalyptic number.

114220730880 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 114220730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205115902992).

114220730880 is an abundant number, since it is smaller than the sum of its proper divisors (296011075104).

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

114220730880 is an frugal number, since it uses more digits than its factorization.

114220730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183649 (or 183621 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 114220730880 in words is "one hundred fourteen billion, two hundred twenty million, seven hundred thirty thousand, eight hundred eighty".