114251472 has 100 divisors (see below), whose sum is σ = 333088800. Its totient is φ = 37806912.

The previous prime is 114251471. The next prime is 114251479. The reversal of 114251472 is 274152411.

114251472 is a `hidden beast` number, since 1 + 142 + 51 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114251471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257683 + ... + 258125.

It is an arithmetic number, because the mean of its divisors is an integer number (3330888).

Almost surely, 2^114251472 is an apocalyptic number.

114251472 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 114251472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166544400).

114251472 is an abundant number, since it is smaller than the sum of its proper divisors (218837328).

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

114251472 is a wasteful number, since it uses less digits than its factorization.

114251472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 114251472 is about 10688.8480202499. The cubic root of 114251472 is about 485.2370287186.

The spelling of 114251472 in words is "one hundred fourteen million, two hundred fifty-one thousand, four hundred seventy-two".