114514608 has 160 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 32947200.

The previous prime is 114514597. The next prime is 114514619. The reversal of 114514608 is 806415411.

It is an interprime number because it is at equal distance from previous prime (114514597) and next prime (114514619).

It is a super-2 number, since 2×114514608² = 26227190890787328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133758 + ... + 1133858.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^114514608 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 114514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

114514608 is an abundant number, since it is smaller than the sum of its proper divisors (225463632).

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

114514608 is a wasteful number, since it uses less digits than its factorization.

114514608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114514608 is about 10701.1498447597. The cubic root of 114514608 is about 485.6092644252.

It can be divided in two parts, 1145 and 14608, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 114514608 in words is "one hundred fourteen million, five hundred fourteen thousand, six hundred eight".