114733632 has 112 divisors (see below), whose sum is σ = 334832960. Its totient is φ = 34449408.

The previous prime is 114733631. The next prime is 114733651. The reversal of 114733632 is 236337411.

It is a super-2 number, since 2×114733632² = 26327612623822848, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 114733632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114733631) 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, 106794 + ... + 107862.

It is an arithmetic number, because the mean of its divisors is an integer number (2989580).

Almost surely, 2^114733632 is an apocalyptic number.

114733632 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 114733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167416480).

114733632 is an abundant number, since it is smaller than the sum of its proper divisors (220099328).

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

114733632 is a wasteful number, since it uses less digits than its factorization.

114733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 114733632 is about 10711.3786227544. The cubic root of 114733632 is about 485.9186640969.

The spelling of 114733632 in words is "one hundred fourteen million, seven hundred thirty-three thousand, six hundred thirty-two".