38874952242001 has 2 divisors, whose sum is σ = 38874952242002. Its totient is φ = 38874952242000.

The previous prime is 38874952241963. The next prime is 38874952242023. The reversal of 38874952242001 is 10024225947883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20287601438976 + 18587350803025 = 4504176^2 + 4311305^2 .

It is a cyclic number.

It is not a de Polignac number, because 38874952242001 - 2³¹ = 38872804758353 is a prime.

It is a super-2 number, since 2×38874952242001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38874952242031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19437476121000 + 19437476121001.

It is an arithmetic number, because the mean of its divisors is an integer number (19437476121001).

Almost surely, 2^{38874952242001} is an apocalyptic number.

It is an amenable number.

38874952242001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38874952242001 is an equidigital number, since it uses as much as digits as its factorization.

38874952242001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 38874952242001 in words is "thirty-eight trillion, eight hundred seventy-four billion, nine hundred fifty-two million, two hundred forty-two thousand, one".