114007008 has 48 divisors (see below), whose sum is σ = 299859840. Its totient is φ = 37927296.

The previous prime is 114006979. The next prime is 114007037. The reversal of 114007008 is 800700411.

It is an interprime number because it is at equal distance from previous prime (114006979) and next prime (114007037).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114007008² = 25995195746224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70141 + ... + 71747.

It is an arithmetic number, because the mean of its divisors is an integer number (6247080).

Almost surely, 2^114007008 is an apocalyptic number.

It is an amenable number.

114007008 is an abundant number, since it is smaller than the sum of its proper divisors (185852832).

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

114007008 is a wasteful number, since it uses less digits than its factorization.

114007008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 114007008 is about 10677.4064266562. The cubic root of 114007008 is about 484.8906941826.

Adding to 114007008 its reverse (800700411), we get a palindrome (914707419).

The spelling of 114007008 in words is "one hundred fourteen million, seven thousand, eight".