114921504 has 72 divisors (see below), whose sum is σ = 338934960. Its totient is φ = 38304576.

The previous prime is 114921497. The next prime is 114921539. The reversal of 114921504 is 405129411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387 + ... + 15165.

It is an arithmetic number, because the mean of its divisors is an integer number (4707430).

Almost surely, 2^114921504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114921504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169467480).

114921504 is an abundant number, since it is smaller than the sum of its proper divisors (224013456).

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

114921504 is an equidigital number, since it uses as much as digits as its factorization.

114921504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114921504 is about 10720.1447751418. The cubic root of 114921504 is about 486.1837439655.

It can be divided in two parts, 11492 and 1504, that added together give a square (12996 = 114²).

The spelling of 114921504 in words is "one hundred fourteen million, nine hundred twenty-one thousand, five hundred four".