114893532 has 192 divisors, whose sum is σ = 348096000. Its totient is φ = 32472576.

The previous prime is 114893507. The next prime is 114893557. The reversal of 114893532 is 235398411.

114893532 is a `hidden beast` number, since 114 + 8 + 9 + 3 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (114893507) and next prime (114893557).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573848 + ... + 1573920.

It is an arithmetic number, because the mean of its divisors is an integer number (1813000).

Almost surely, 2^114893532 is an apocalyptic number.

114893532 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 114893532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048000).

114893532 is an abundant number, since it is smaller than the sum of its proper divisors (233202468).

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

114893532 is a wasteful number, since it uses less digits than its factorization.

114893532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 114893532 is about 10718.8400491844. The cubic root of 114893532 is about 486.1442949075.

The spelling of 114893532 in words is "one hundred fourteen million, eight hundred ninety-three thousand, five hundred thirty-two".