114404004 has 144 divisors (see below), whose sum is σ = 345631104. Its totient is φ = 31449600.

The previous prime is 114403987. The next prime is 114404021. The reversal of 114404004 is 400404411.

It is an interprime number because it is at equal distance from previous prime (114403987) and next prime (114404021).

It is a super-2 number, since 2×114404004² = 26176552262464032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 365352 + ... + 365664.

It is an arithmetic number, because the mean of its divisors is an integer number (2400216).

Almost surely, 2^114404004 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 114404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172815552).

114404004 is an abundant number, since it is smaller than the sum of its proper divisors (231227100).

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

114404004 is a wasteful number, since it uses less digits than its factorization.

114404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114404004 is about 10695.9807404464. The cubic root of 114404004 is about 485.4528720681.

Adding to 114404004 its reverse (400404411), we get a palindrome (514808415).

The spelling of 114404004 in words is "one hundred fourteen million, four hundred four thousand, four".