327700147401 has 135 divisors (see below), whose sum is σ = 556222717245. Its totient is φ = 185886288720.

The previous prime is 327700147393. The next prime is 327700147427. The reversal of 327700147401 is 104741007723.

The square root of 327700147401 is 572451.

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

It is not a de Polignac number, because 327700147401 - 2³ = 327700147393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (327700147451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3948194506 + ... + 3948194588.

Almost surely, 2^327700147401 is an apocalyptic number.

327700147401 is the 572451-st square number.

327700147401 is the 286226-th centered octagonal number.

It is an amenable number.

327700147401 is a deficient number, since it is larger than the sum of its proper divisors (228522569844).

327700147401 is an frugal number, since it uses more digits than its factorization.

327700147401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Multiplying 327700147401 by its sum of digits (36), we get a square (11797205306436 = 3434706²).

The spelling of 327700147401 in words is "three hundred twenty-seven billion, seven hundred million, one hundred forty-seven thousand, four hundred one".