114776896 has 112 divisors (see below), whose sum is σ = 261152640. Its totient is φ = 49674240.

The previous prime is 114776881. The next prime is 114776897. The reversal of 114776896 is 698677411.

Its product of digits (508032) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114776897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1616541 + ... + 1616611.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 2^114776896 is an apocalyptic number.

114776896 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 114776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130576320).

114776896 is an abundant number, since it is smaller than the sum of its proper divisors (146375744).

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

114776896 is a wasteful number, since it uses less digits than its factorization.

114776896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

The square root of 114776896 is about 10713.3979670317. The cubic root of 114776896 is about 485.9797334998.

The spelling of 114776896 in words is "one hundred fourteen million, seven hundred seventy-six thousand, eight hundred ninety-six".