114635616 has 48 divisors (see below), whose sum is σ = 304565184. Its totient is φ = 37748864.

The previous prime is 114635597. The next prime is 114635617. The reversal of 114635616 is 616536411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114635617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (6345108).

Almost surely, 2^114635616 is an apocalyptic number.

114635616 is a gapful number since it is divisible by the number (16) 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 114635616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152282592).

114635616 is an abundant number, since it is smaller than the sum of its proper divisors (189929568).

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

114635616 is a wasteful number, since it uses less digits than its factorization.

114635616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14475 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 114635616 is about 10706.8023237566. The cubic root of 114635616 is about 485.7802525662.

The spelling of 114635616 in words is "one hundred fourteen million, six hundred thirty-five thousand, six hundred sixteen".