114830049600 has 1008 divisors, whose sum is σ = 515745740160. Its totient is φ = 24695193600.

The previous prime is 114830049539. The next prime is 114830049643. The reversal of 114830049600 is 6940038411.

114830049600 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 3 + 0 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×114830049600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35984005 + ... + 35987195.

It is an arithmetic number, because the mean of its divisors is an integer number (511652520).

Almost surely, 2^114830049600 is an apocalyptic number.

114830049600 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 114830049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257872870080).

114830049600 is an abundant number, since it is smaller than the sum of its proper divisors (400915690560).

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

114830049600 is a wasteful number, since it uses less digits than its factorization.

114830049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 114830049600 in words is "one hundred fourteen billion, eight hundred thirty million, forty-nine thousand, six hundred".