821749206348 has 36 divisors (see below), whose sum is σ = 2373942152400. Its totient is φ = 234785487456.

The previous prime is 821749206307. The next prime is 821749206359. The reversal of 821749206348 is 843602947128.

821749206348 is a `hidden beast` number, since 8 + 21 + 74 + 9 + 206 + 348 = 666.

821749206348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 821749206294 and 821749206303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1630454523 + ... + 1630455026.

Almost surely, 2^821749206348 is an apocalyptic number.

It is an amenable number.

821749206348 is an abundant number, since it is smaller than the sum of its proper divisors (1552192946052).

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

821749206348 is a wasteful number, since it uses less digits than its factorization.

821749206348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260909566 (or 3260909561 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 821749206348 in words is "eight hundred twenty-one billion, seven hundred forty-nine million, two hundred six thousand, three hundred forty-eight".