1938357278001 has 27 divisors (see below), whose sum is σ = 2974343439691. Its totient is φ = 1216179622464.

The previous prime is 1938357277981. The next prime is 1938357278003. The reversal of 1938357278001 is 1008727538391.

It is a happy number.

The square root of 1938357278001 is 1392249.

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

1938357278001 is a `hidden beast` number, since 19 + 3 + 8 + 357 + 278 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1509101687025 + 429255590976 = 1228455^2 + 655176^2 .

It is not a de Polignac number, because 1938357278001 - 2⁹ = 1938357277489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1938357278003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70991050 + ... + 71018348.

Almost surely, 2^{1938357278001} is an apocalyptic number.

1938357278001 is the 1392249-th square number.

1938357278001 is the 696125-th centered octagonal number.

It is an amenable number.

1938357278001 is a deficient number, since it is larger than the sum of its proper divisors (1035986161690).

1938357278001 is an frugal number, since it uses more digits than its factorization.

1938357278001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54638 (or 27319 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1938357278001 in words is "one trillion, nine hundred thirty-eight billion, three hundred fifty-seven million, two hundred seventy-eight thousand, one".