234827112960 has 1440 divisors, whose sum is σ = 974196647424. Its totient is φ = 53747712000.

The previous prime is 234827112953. The next prime is 234827112967. The reversal of 234827112960 is 69211728432.

234827112960 is a `hidden beast` number, since 2 + 3 + 482 + 71 + 12 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234827112953) and next prime (234827112967).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×234827112960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (234827112967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5727490540 + ... + 5727490580.

Almost surely, 2^234827112960 is an apocalyptic number.

234827112960 is a gapful number since it is divisible by the number (20) 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 234827112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487098323712).

234827112960 is an abundant number, since it is smaller than the sum of its proper divisors (739369534464).

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

234827112960 is an frugal number, since it uses more digits than its factorization.

234827112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 234827112960 in words is "two hundred thirty-four billion, eight hundred twenty-seven million, one hundred twelve thousand, nine hundred sixty".