821103129308304 has 120 divisors (see below), whose sum is σ = 2361470828396160. Its totient is φ = 266143964454144.

The previous prime is 821103129308291. The next prime is 821103129308321. The reversal of 821103129308304 is 403803921301128.

It is a happy number.

821103129308304 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 0 + 31 + 2 + 9 + 308 + 304 = 666.

It is a super-2 number, since 2×821103129308304² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 821103129308304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37342264 + ... + 55105815.

It is an arithmetic number, because the mean of its divisors is an integer number (19678923569968).

Almost surely, 2^{821103129308304} is an apocalyptic number.

It is an amenable number.

821103129308304 is an abundant number, since it is smaller than the sum of its proper divisors (1540367699087856).

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

821103129308304 is a wasteful number, since it uses less digits than its factorization.

821103129308304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92449797 (or 92449788 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 821103129308304 in words is "eight hundred twenty-one trillion, one hundred three billion, one hundred twenty-nine million, three hundred eight thousand, three hundred four".