114261056 has 112 divisors (see below), whose sum is σ = 291535104. Its totient is φ = 43186176.

The previous prime is 114261023. The next prime is 114261061. The reversal of 114261056 is 650162411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133526 + ... + 134378.

It is an arithmetic number, because the mean of its divisors is an integer number (2602992).

Almost surely, 2^114261056 is an apocalyptic number.

114261056 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 114261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145767552).

114261056 is an abundant number, since it is smaller than the sum of its proper divisors (177274048).

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

114261056 is a wasteful number, since it uses less digits than its factorization.

114261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 114261056 is about 10689.2963285709. The cubic root of 114261056 is about 485.2505963969.

The spelling of 114261056 in words is "one hundred fourteen million, two hundred sixty-one thousand, fifty-six".