114677472 has 96 divisors (see below), whose sum is σ = 370524672. Its totient is φ = 30242304.

The previous prime is 114677417. The next prime is 114677473. The reversal of 114677472 is 274776411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114677472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114677473) 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, 2173 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (3859632).

Almost surely, 2^114677472 is an apocalyptic number.

114677472 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 114677472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185262336).

114677472 is an abundant number, since it is smaller than the sum of its proper divisors (255847200).

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

114677472 is a wasteful number, since it uses less digits than its factorization.

114677472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 13152 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 114677472 is about 10708.7567905897. The cubic root of 114677472 is about 485.8393684117.

The spelling of 114677472 in words is "one hundred fourteen million, six hundred seventy-seven thousand, four hundred seventy-two".