229876107264 has 144 divisors (see below), whose sum is σ = 667082248560. Its totient is φ = 76260925440.

The previous prime is 229876107259. The next prime is 229876107271. The reversal of 229876107264 is 462701678922.

229876107264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 229876107264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3859599 + ... + 3918705.

It is an arithmetic number, because the mean of its divisors is an integer number (4632515615).

Almost surely, 2^229876107264 is an apocalyptic number.

229876107264 is a gapful number since it is divisible by the number (24) 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 229876107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333541124280).

229876107264 is an abundant number, since it is smaller than the sum of its proper divisors (437206141296).

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

229876107264 is a wasteful number, since it uses less digits than its factorization.

229876107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59346 (or 59323 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

It can be divided in two parts, 22987 and 6107264, that added together give a triangular number (6130251 = T₃₅₀₁).

The spelling of 229876107264 in words is "two hundred twenty-nine billion, eight hundred seventy-six million, one hundred seven thousand, two hundred sixty-four".