114122496 has 72 divisors (see below), whose sum is σ = 321635664. Its totient is φ = 35799040.

The previous prime is 114122483. The next prime is 114122509. The reversal of 114122496 is 694221411.

It is an interprime number because it is at equal distance from previous prime (114122483) and next prime (114122509).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8686 + ... + 17426.

It is an arithmetic number, because the mean of its divisors is an integer number (4467162).

Almost surely, 2^114122496 is an apocalyptic number.

114122496 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 114122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160817832).

114122496 is an abundant number, since it is smaller than the sum of its proper divisors (207513168).

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

114122496 is an equidigital number, since it uses as much as digits as its factorization.

114122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8763 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 114122496 is about 10682.8131126590. The cubic root of 114122496 is about 485.0543687943.

The spelling of 114122496 in words is "one hundred fourteen million, one hundred twenty-two thousand, four hundred ninety-six".