114057856 has 64 divisors (see below), whose sum is σ = 252266400. Its totient is φ = 50928640.

The previous prime is 114057803. The next prime is 114057857. The reversal of 114057856 is 658750411.

114057856 is a nontrivial binomial coefficient, being equal to C(15104, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (114057857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82386 + ... + 83758.

Almost surely, 2^114057856 is an apocalyptic number.

114057856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114057856 is the 15103-rd triangular number and also the 7552-nd hexagonal number.

114057856 is the 5035-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126133200).

114057856 is an abundant number, since it is smaller than the sum of its proper divisors (138208544).

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

114057856 is a wasteful number, since it uses less digits than its factorization.

114057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 114057856 is about 10679.7872637988. The cubic root of 114057856 is about 484.9627717909.

It can be divided in two parts, 1140 and 57856, that added together give a triangular number (58996 = T₃₄₃).

The spelling of 114057856 in words is "one hundred fourteen million, fifty-seven thousand, eight hundred fifty-six".