337327478401 has 9 divisors (see below), whose sum is σ = 338221365699. Its totient is φ = 336435951936.

The previous prime is 337327478339. The next prime is 337327478441. The reversal of 337327478401 is 104874723733.

The square root of 337327478401 is 580799.

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

It can be written as a sum of positive squares in only one way, i.e., 110393385025 + 226934093376 = 332255^2 + 476376^2 .

It is not a de Polignac number, because 337327478401 - 2⁷ = 337327478273 is a prime.

It is a super-2 number, since 2×337327478401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337327478441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 390877296 + ... + 390878158.

Almost surely, 2^337327478401 is an apocalyptic number.

337327478401 is the 580799-th square number.

337327478401 is the 290400-th centered octagonal number.

It is an amenable number.

337327478401 is a deficient number, since it is larger than the sum of its proper divisors (893887298).

337327478401 is an frugal number, since it uses more digits than its factorization.

337327478401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

Multiplying 337327478401 by its sum of digits (49), we get a square (16529046441649 = 4065593²).

The spelling of 337327478401 in words is "three hundred thirty-seven billion, three hundred twenty-seven million, four hundred seventy-eight thousand, four hundred one".