114362976 has 288 divisors, whose sum is σ = 398442240. Its totient is φ = 28035072.

The previous prime is 114362971. The next prime is 114362977. The reversal of 114362976 is 679263411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114362971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2157766 + ... + 2157818.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^114362976 is an apocalyptic number.

114362976 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 114362976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

114362976 is an abundant number, since it is smaller than the sum of its proper divisors (284079264).

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

114362976 is a wasteful number, since it uses less digits than its factorization.

114362976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 114362976 is about 10694.0626517708. The cubic root of 114362976 is about 485.3948334764.

The spelling of 114362976 in words is "one hundred fourteen million, three hundred sixty-two thousand, nine hundred seventy-six".