38357342592001 has 2 divisors, whose sum is σ = 38357342592002. Its totient is φ = 38357342592000.

The previous prime is 38357342591977. The next prime is 38357342592013. The reversal of 38357342592001 is 10029524375383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38355428966976 + 1913625025 = 6193176^2 + 43745^2 .

It is an emirp because it is prime and its reverse (10029524375383) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38357342592001 - 2⁷ = 38357342591873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38357342592001.

It is not a weakly prime, because it can be changed into another prime (38357342592901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19178671296000 + 19178671296001.

It is an arithmetic number, because the mean of its divisors is an integer number (19178671296001).

Almost surely, 2^{38357342592001} is an apocalyptic number.

It is an amenable number.

38357342592001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38357342592001 is an equidigital number, since it uses as much as digits as its factorization.

38357342592001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 38357342592001 in words is "thirty-eight trillion, three hundred fifty-seven billion, three hundred forty-two million, five hundred ninety-two thousand, one".