114230653920 has 384 divisors, whose sum is σ = 421956864000. Its totient is φ = 28782397440.

The previous prime is 114230653907. The next prime is 114230653963. The reversal of 114230653920 is 29356032411.

114230653920 is a `hidden beast` number, since 114 + 2 + 3 + 0 + 6 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×114230653920² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35374866 + ... + 35378094.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846000).

Almost surely, 2^114230653920 is an apocalyptic number.

114230653920 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 114230653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210978432000).

114230653920 is an abundant number, since it is smaller than the sum of its proper divisors (307726210080).

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

114230653920 is a wasteful number, since it uses less digits than its factorization.

114230653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 114230653920 in words is "one hundred fourteen billion, two hundred thirty million, six hundred fifty-three thousand, nine hundred twenty".