114779002890 has 64 divisors (see below), whose sum is σ = 288032827392. Its totient is φ = 29217249600.

The previous prime is 114779002883. The next prime is 114779002903. The reversal of 114779002890 is 98200977411.

114779002890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169395 + ... + 508185.

It is an arithmetic number, because the mean of its divisors is an integer number (4500512928).

Almost surely, 2^114779002890 is an apocalyptic number.

114779002890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 338790×338791.

It is a practical number, because each smaller number is the sum of distinct divisors of 114779002890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144016413696).

114779002890 is an abundant number, since it is smaller than the sum of its proper divisors (173253824502).

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

114779002890 is a wasteful number, since it uses less digits than its factorization.

114779002890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339315.

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 114779002890 in words is "one hundred fourteen billion, seven hundred seventy-nine million, two thousand, eight hundred ninety".