828146829375 has 120 divisors (see below), whose sum is σ = 1612587669264. Its totient is φ = 407851392000.

The previous prime is 828146829373. The next prime is 828146829431. The reversal of 828146829375 is 573928641828.

828146829375 is a `hidden beast` number, since 8 + 2 + 81 + 468 + 2 + 93 + 7 + 5 = 666.

It is not a de Polignac number, because 828146829375 - 2¹ = 828146829373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828146829371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4986424 + ... + 5149826.

Almost surely, 2^828146829375 is an apocalyptic number.

828146829375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

828146829375 is a deficient number, since it is larger than the sum of its proper divisors (784440839889).

828146829375 is a wasteful number, since it uses less digits than its factorization.

828146829375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163499 (or 163481 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 828146829375 in words is "eight hundred twenty-eight billion, one hundred forty-six million, eight hundred twenty-nine thousand, three hundred seventy-five".