114001992 has 144 divisors (see below), whose sum is σ = 347714640. Its totient is φ = 34976448.

The previous prime is 114001991. The next prime is 114001997. The reversal of 114001992 is 299100411.

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

It is not an unprimeable number, because it can be changed into a prime (114001991) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 328363 + ... + 328709.

It is an arithmetic number, because the mean of its divisors is an integer number (2414685).

Almost surely, 2^114001992 is an apocalyptic number.

114001992 is a gapful number since it is divisible by the number (12) 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 114001992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173857320).

114001992 is an abundant number, since it is smaller than the sum of its proper divisors (233712648).

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

114001992 is a wasteful number, since it uses less digits than its factorization.

114001992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 114001992 is about 10677.1715355706. The cubic root of 114001992 is about 484.8835827853.

The spelling of 114001992 in words is "one hundred fourteen million, one thousand, nine hundred ninety-two".