114513383880 has 320 divisors, whose sum is σ = 444240910080. Its totient is φ = 25914816000.

The previous prime is 114513383879. The next prime is 114513383947. The reversal of 114513383880 is 88383315411.

It is a happy number.

114513383880 is a `hidden beast` number, since 11 + 451 + 33 + 83 + 8 + 80 = 666.

It is a super-2 number, since 2×114513383880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2265685 + ... + 2315675.

It is an arithmetic number, because the mean of its divisors is an integer number (1388252844).

Almost surely, 2^114513383880 is an apocalyptic number.

114513383880 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 114513383880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222120455040).

114513383880 is an abundant number, since it is smaller than the sum of its proper divisors (329727526200).

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

114513383880 is a wasteful number, since it uses less digits than its factorization.

114513383880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50122 (or 50109 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 114513383880 in words is "one hundred fourteen billion, five hundred thirteen million, three hundred eighty-three thousand, eight hundred eighty".