114164784990 has 96 divisors (see below), whose sum is σ = 307952701056. Its totient is φ = 30431026080.

The previous prime is 114164784959. The next prime is 114164785001. The reversal of 114164784990 is 99487461411.

It is a happy number.

114164784990 is a `hidden beast` number, since 1 + 1 + 41 + 6 + 478 + 49 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6627729 + ... + 6644931.

It is an arithmetic number, because the mean of its divisors is an integer number (3207840636).

Almost surely, 2^114164784990 is an apocalyptic number.

114164784990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114164784990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153976350528).

114164784990 is an abundant number, since it is smaller than the sum of its proper divisors (193787916066).

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

114164784990 is a wasteful number, since it uses less digits than its factorization.

114164784990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 114164784990 in words is "one hundred fourteen billion, one hundred sixty-four million, seven hundred eighty-four thousand, nine hundred ninety".