114001356 has 48 divisors (see below), whose sum is σ = 306817280. Its totient is φ = 32270400.

The previous prime is 114001351. The next prime is 114001369. The reversal of 114001356 is 653100411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114001351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931 + ... + 15381.

Almost surely, 2^114001356 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 114001356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153408640).

114001356 is an abundant number, since it is smaller than the sum of its proper divisors (192815924).

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

114001356 is a wasteful number, since it uses less digits than its factorization.

114001356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 114001356 is about 10677.1417523605. The cubic root of 114001356 is about 484.8826810860.

Adding to 114001356 its reverse (653100411), we get a palindrome (767101767).

The spelling of 114001356 in words is "one hundred fourteen million, one thousand, three hundred fifty-six".