38006511206399 has 16 divisors (see below), whose sum is σ = 39536884408320. Its totient is φ = 36496255656000.

The previous prime is 38006511206383. The next prime is 38006511206401. The reversal of 38006511206399 is 99360211560083.

It is a cyclic number.

It is not a de Polignac number, because 38006511206399 - 2⁴ = 38006511206383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38006511206399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38006511206359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7045787 + ... + 11209644.

It is an arithmetic number, because the mean of its divisors is an integer number (2471055275520).

Almost surely, 2^{38006511206399} is an apocalyptic number.

38006511206399 is a deficient number, since it is larger than the sum of its proper divisors (1530373201921).

38006511206399 is a wasteful number, since it uses less digits than its factorization.

38006511206399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18255982.

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 38006511206399 in words is "thirty-eight trillion, six billion, five hundred eleven million, two hundred six thousand, three hundred ninety-nine".