38253367152001 has 8 divisors (see below), whose sum is σ = 38893257143208. Its totient is φ = 37613889600000.

The previous prime is 38253367151969. The next prime is 38253367152017. The reversal of 38253367152001 is 10025176335283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6962500209025 + 31290866942976 = 2638655^2 + 5593824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38253367152001 - 2⁵ = 38253367151969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38253367152031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102922750 + ... + 103293751.

It is an arithmetic number, because the mean of its divisors is an integer number (4861657142901).

Almost surely, 2^{38253367152001} is an apocalyptic number.

It is an amenable number.

38253367152001 is a deficient number, since it is larger than the sum of its proper divisors (639889991207).

38253367152001 is a wasteful number, since it uses less digits than its factorization.

38253367152001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206219603.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 38253367152001 in words is "thirty-eight trillion, two hundred fifty-three billion, three hundred sixty-seven million, one hundred fifty-two thousand, one".