234849799275840 has 7168 divisors, whose sum is σ = 1129487479603200. Its totient is φ = 44696597299200.

The previous prime is 234849799275823. The next prime is 234849799275841. The reversal of 234849799275840 is 48572997948432.

234849799275840 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 4 + 9 + 7 + 9 + 9 + 27 + 584 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 234849799275840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234849799275841) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1849211017857 + ... + 1849211017983.

Almost surely, 2^{234849799275840} is an apocalyptic number.

234849799275840 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 234849799275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564743739801600).

234849799275840 is an abundant number, since it is smaller than the sum of its proper divisors (894637680327360).

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

234849799275840 is a wasteful number, since it uses less digits than its factorization.

234849799275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 234849799275840 in words is "two hundred thirty-four trillion, eight hundred forty-nine billion, seven hundred ninety-nine million, two hundred seventy-five thousand, eight hundred forty".