838133940864 has 384 divisors, whose sum is σ = 2520834120000. Its totient is φ = 246368010240.

The previous prime is 838133940859. The next prime is 838133940869. The reversal of 838133940864 is 468049331838.

It is an interprime number because it is at equal distance from previous prime (838133940859) and next prime (838133940869).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (838133940869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857864344 + ... + 857865320.

Almost surely, 2^838133940864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838133940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260417060000).

838133940864 is an abundant number, since it is smaller than the sum of its proper divisors (1682700179136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

838133940864 is a wasteful number, since it uses less digits than its factorization.

838133940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 838133940864 in words is "eight hundred thirty-eight billion, one hundred thirty-three million, nine hundred forty thousand, eight hundred sixty-four".