826145505541628 has 12 divisors (see below), whose sum is σ = 1445991604849512. Its totient is φ = 413005047013200.

The previous prime is 826145505541607. The next prime is 826145505541661.

826145505541628 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16926411950 + ... + 16926460757.

It is an arithmetic number, because the mean of its divisors is an integer number (120499300404126).

Almost surely, 2^{826145505541628} is an apocalyptic number.

It is an amenable number.

826145505541628 is a deficient number, since it is larger than the sum of its proper divisors (619846099307884).

826145505541628 is a wasteful number, since it uses less digits than its factorization.

826145505541628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33852878812 (or 33852878810 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 62.

The spelling of 826145505541628 in words is "eight hundred twenty-six trillion, one hundred forty-five billion, five hundred five million, five hundred forty-one thousand, six hundred twenty-eight".