114667776 has 108 divisors (see below), whose sum is σ = 333770892. Its totient is φ = 37859328.

The previous prime is 114667747. The next prime is 114667781. The reversal of 114667776 is 677766411.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 96825600 = 4224^2 + 9840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361570 + ... + 361886.

Almost surely, 2^114667776 is an apocalyptic number.

114667776 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 114667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166885446).

114667776 is an abundant number, since it is smaller than the sum of its proper divisors (219103116).

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

114667776 is a wasteful number, since it uses less digits than its factorization.

114667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 114667776 is about 10708.3040674049. The cubic root of 114667776 is about 485.8256754250.

The spelling of 114667776 in words is "one hundred fourteen million, six hundred sixty-seven thousand, seven hundred seventy-six".