838479242768301 has 48 divisors (see below), whose sum is σ = 1218662836560000. Its totient is φ = 555519383046144.

The previous prime is 838479242768249. The next prime is 838479242768303. The reversal of 838479242768301 is 103867242974838.

838479242768301 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 7 + 9 + 242 + 76 + 8 + 301 = 666.

It is not a de Polignac number, because 838479242768301 - 2⁴⁷ = 697741754412973 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 838479242768301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838479242768303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12071883765 + ... + 12071953221.

It is an arithmetic number, because the mean of its divisors is an integer number (25388809095000).

Almost surely, 2^{838479242768301} is an apocalyptic number.

It is an amenable number.

838479242768301 is a deficient number, since it is larger than the sum of its proper divisors (380183593791699).

838479242768301 is a wasteful number, since it uses less digits than its factorization.

838479242768301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77538 (or 77535 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 838479242768301 in words is "eight hundred thirty-eight trillion, four hundred seventy-nine billion, two hundred forty-two million, seven hundred sixty-eight thousand, three hundred one".