838148076486553 has 128 divisors (see below), whose sum is σ = 1040703868108800. Its totient is φ = 659142678878208.

The previous prime is 838148076486541. The next prime is 838148076486649. The reversal of 838148076486553 is 355684670841838.

It is a happy number.

It is not a de Polignac number, because 838148076486553 - 2²⁵ = 838148042932121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 838148076486553.

It is not an unprimeable number, because it can be changed into a prime (838148076486953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169562626800 + ... + 169562631742.

It is an arithmetic number, because the mean of its divisors is an integer number (8130498969600).

Almost surely, 2^{838148076486553} is an apocalyptic number.

It is an amenable number.

838148076486553 is a deficient number, since it is larger than the sum of its proper divisors (202555791622247).

838148076486553 is a wasteful number, since it uses less digits than its factorization.

838148076486553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099.

The product of its (nonzero) digits is 3715891200, while the sum is 76.

The spelling of 838148076486553 in words is "eight hundred thirty-eight trillion, one hundred forty-eight billion, seventy-six million, four hundred eighty-six thousand, five hundred fifty-three".