114516249120 has 768 divisors, whose sum is σ = 506697569280. Its totient is φ = 23505666048.

The previous prime is 114516249109. The next prime is 114516249139. The reversal of 114516249120 is 21942615411.

114516249120 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 624 + 9 + 1 + 20 = 666.

It is a super-2 number, since 2×114516249120² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14541504 + ... + 14549376.

It is an arithmetic number, because the mean of its divisors is an integer number (659762460).

Almost surely, 2^114516249120 is an apocalyptic number.

114516249120 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 114516249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253348784640).

114516249120 is an abundant number, since it is smaller than the sum of its proper divisors (392181320160).

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

114516249120 is a wasteful number, since it uses less digits than its factorization.

114516249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 114516249120 in words is "one hundred fourteen billion, five hundred sixteen million, two hundred forty-nine thousand, one hundred twenty".