215341474401 has 81 divisors (see below), whose sum is σ = 344134347609. Its totient is φ = 134715280896.

The previous prime is 215341474393. The next prime is 215341474433. The reversal of 215341474401 is 104474143512.

The square root of 215341474401 is 464049.

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

215341474401 is a `hidden beast` number, since 2 + 1 + 534 + 14 + 74 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 676052001 + 214665422400 = 26001^2 + 463320^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 215341474401 - 2³ = 215341474393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215341474501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 638995305 + ... + 638995641.

Almost surely, 2^215341474401 is an apocalyptic number.

215341474401 is the 464049-th square number.

215341474401 is the 232025-th centered octagonal number.

It is an amenable number.

215341474401 is a deficient number, since it is larger than the sum of its proper divisors (128792873208).

215341474401 is an frugal number, since it uses more digits than its factorization.

215341474401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 215341474401 by its sum of digits (36), we get a square (7752293078436 = 2784294²).

The spelling of 215341474401 in words is "two hundred fifteen billion, three hundred forty-one million, four hundred seventy-four thousand, four hundred one".