114001092 has 72 divisors (see below), whose sum is σ = 296314200. Its totient is φ = 36940800.

The previous prime is 114001091. The next prime is 114001141. The reversal of 114001092 is 290100411.

It can be written as a sum of positive squares in 4 ways, for example, as 39765636 + 74235456 = 6306^2 + 8616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114001091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284092 + ... + 284492.

It is an arithmetic number, because the mean of its divisors is an integer number (4115475).

Almost surely, 2^114001092 is an apocalyptic number.

114001092 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 114001092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148157100).

114001092 is an abundant number, since it is smaller than the sum of its proper divisors (182313108).

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

114001092 is a wasteful number, since it uses less digits than its factorization.

114001092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 114001092 is about 10677.1293894942. The cubic root of 114001092 is about 484.8823067948.

The spelling of 114001092 in words is "one hundred fourteen million, one thousand, ninety-two".