234203478549264 has 945 divisors, whose sum is σ = 819026410777029. Its totient is φ = 64657554151680.

The previous prime is 234203478549253. The next prime is 234203478549269. The reversal of 234203478549264 is 462945874302432.

The square root of 234203478549264 is 15303708.

It is a perfect power (a square), and thus also a powerful number.

234203478549264 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 0 + 3 + 4 + 7 + 85 + 492 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54498943875600 + 179704534673664 = 7382340^2 + 13405392^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (234203478549269) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 358657700362 + ... + 358657701014.

Almost surely, 2^{234203478549264} is an apocalyptic number.

234203478549264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

234203478549264 is the 15303708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234203478549264

234203478549264 is an abundant number, since it is smaller than the sum of its proper divisors (584822932227765).

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

234203478549264 is an frugal number, since it uses more digits than its factorization.

234203478549264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 234203478549264 in words is "two hundred thirty-four trillion, two hundred three billion, four hundred seventy-eight million, five hundred forty-nine thousand, two hundred sixty-four".