114398016 has 56 divisors (see below), whose sum is σ = 303580800. Its totient is φ = 38019072.

The previous prime is 114398003. The next prime is 114398051. The reversal of 114398016 is 610893411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85545 + ... + 86871.

Almost surely, 2^114398016 is an apocalyptic number.

114398016 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 114398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151790400).

114398016 is an abundant number, since it is smaller than the sum of its proper divisors (189182784).

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

114398016 is a wasteful number, since it uses less digits than its factorization.

114398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 114398016 is about 10695.7008185532. The cubic root of 114398016 is about 485.4444022523. Note that the first 4 decimals are identical.

The spelling of 114398016 in words is "one hundred fourteen million, three hundred ninety-eight thousand, sixteen".