234034577251344 has 30 divisors (see below), whose sum is σ = 654971768280206. Its totient is φ = 78011525750400.

The previous prime is 234034577251259. The next prime is 234034577251369. The reversal of 234034577251344 is 443152775430432.

234034577251344 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 3 + 4 + 57 + 72 + 513 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233055641145600 + 978936105744 = 15266160^2 + 989412^2 .

It is a super-2 number, since 2×234034577251344² (a number of 30 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812620059757 + ... + 812620060044.

Almost surely, 2^{234034577251344} is an apocalyptic number.

234034577251344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234034577251344 is an abundant number, since it is smaller than the sum of its proper divisors (420937191028862).

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

234034577251344 is a wasteful number, since it uses less digits than its factorization.

234034577251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625240119815 (or 1625240119806 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 234034577251344 in words is "two hundred thirty-four trillion, thirty-four billion, five hundred seventy-seven million, two hundred fifty-one thousand, three hundred forty-four".