826146641628 has 192 divisors, whose sum is σ = 2732475863040. Its totient is φ = 209593137600.

The previous prime is 826146641557. The next prime is 826146641647.

826146641628 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 4 + 6 + 6 + 4 + 1 + 628 = 666.

826146641628 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 797578 + ... + 1512753.

It is an arithmetic number, because the mean of its divisors is an integer number (14231645120).

Almost surely, 2^826146641628 is an apocalyptic number.

It is an amenable number.

826146641628 is an abundant number, since it is smaller than the sum of its proper divisors (1906329221412).

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

826146641628 is a wasteful number, since it uses less digits than its factorization.

826146641628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310405 (or 2310397 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 826146641628 in words is "eight hundred twenty-six billion, one hundred forty-six million, six hundred forty-one thousand, six hundred twenty-eight".