114196480 has 128 divisors (see below), whose sum is σ = 297266760. Its totient is φ = 41943040.

The previous prime is 114196477. The next prime is 114196483. The reversal of 114196480 is 84691411.

It is an interprime number because it is at equal distance from previous prime (114196477) and next prime (114196483).

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 36192256 = 8832^2 + 6016^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (114196483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785260 + ... + 2785300.

Almost surely, 2^114196480 is an apocalyptic number.

114196480 is a gapful number since it is divisible by the number (10) 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 114196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148633380).

114196480 is an abundant number, since it is smaller than the sum of its proper divisors (183070280).

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

114196480 is an frugal number, since it uses more digits than its factorization.

114196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 114196480 is about 10686.2753099478. The cubic root of 114196480 is about 485.1591641140.

The spelling of 114196480 in words is "one hundred fourteen million, one hundred ninety-six thousand, four hundred eighty".