10821228149304 has 256 divisors, whose sum is σ = 32864312217600. Its totient is φ = 3284333568000.

The previous prime is 10821228149267. The next prime is 10821228149317. The reversal of 10821228149304 is 40394182212801.

10821228149304 is a `hidden beast` number, since 1 + 0 + 8 + 21 + 2 + 281 + 49 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10821228149304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403748704 + ... + 403775504.

It is an arithmetic number, because the mean of its divisors is an integer number (128376219600).

Almost surely, 2^{10821228149304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10821228149304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432156108800).

10821228149304 is an abundant number, since it is smaller than the sum of its proper divisors (22043084068296).

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

10821228149304 is a wasteful number, since it uses less digits than its factorization.

10821228149304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30411 (or 30401 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10821228149304 in words is "ten trillion, eight hundred twenty-one billion, two hundred twenty-eight million, one hundred forty-nine thousand, three hundred four".