114353856 has 224 divisors, whose sum is σ = 366572800. Its totient is φ = 35271936.

The previous prime is 114353821. The next prime is 114353857. The reversal of 114353856 is 658353411.

114353856 is a `hidden beast` number, since 114 + 3 + 538 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114353856.

It is not an unprimeable number, because it can be changed into a prime (114353857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2659371 + ... + 2659413.

Almost surely, 2^114353856 is an apocalyptic number.

114353856 is a gapful number since it is divisible by the number (16) 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 114353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183286400).

114353856 is an abundant number, since it is smaller than the sum of its proper divisors (252218944).

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

114353856 is an frugal number, since it uses more digits than its factorization.

114353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 114353856 is about 10693.6362384364. The cubic root of 114353856 is about 485.3819303536.

The spelling of 114353856 in words is "one hundred fourteen million, three hundred fifty-three thousand, eight hundred fifty-six".