114561792 has 108 divisors (see below), whose sum is σ = 347827480. Its totient is φ = 36163584.

The previous prime is 114561791. The next prime is 114561809. The reversal of 114561792 is 297165411.

114561792 is a `hidden beast` number, since 1 + 1 + 4 + 561 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114561791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42468 + ... + 45084.

Almost surely, 2^114561792 is an apocalyptic number.

114561792 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 114561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173913740).

114561792 is an abundant number, since it is smaller than the sum of its proper divisors (233265688).

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

114561792 is a wasteful number, since it uses less digits than its factorization.

114561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2641 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 114561792 is about 10703.3542406107. The cubic root of 114561792 is about 485.6759512339.

The spelling of 114561792 in words is "one hundred fourteen million, five hundred sixty-one thousand, seven hundred ninety-two".