338753264373001 has 9 divisors (see below), whose sum is σ = 338925385648551. Its totient is φ = 338581230491904.

The previous prime is 338753264372977. The next prime is 338753264373023. The reversal of 338753264373001 is 100373462357833.

The square root of 338753264373001 is 18405251.

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., 29325463259401 + 309427801113600 = 5415299^2 + 17590560^2 .

It is not a de Polignac number, because 338753264373001 - 2⁹ = 338753264372489 is a prime.

It is a super-2 number, since 2×338753264373001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338753264373031) 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, 51884399305 + ... + 51884405833.

Almost surely, 2^{338753264373001} is an apocalyptic number.

338753264373001 is the 18405251-st square number.

338753264373001 is the 9202626-th centered octagonal number.

It is an amenable number.

338753264373001 is a deficient number, since it is larger than the sum of its proper divisors (172121275550).

338753264373001 is an frugal number, since it uses more digits than its factorization.

338753264373001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18696 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 55.

The spelling of 338753264373001 in words is "three hundred thirty-eight trillion, seven hundred fifty-three billion, two hundred sixty-four million, three hundred seventy-three thousand, one".