821466697104 has 135 divisors (see below), whose sum is σ = 2350383309547. Its totient is φ = 267829459392.

The previous prime is 821466697097. The next prime is 821466697127. The reversal of 821466697104 is 401796664128.

The square root of 821466697104 is 906348.

It is a perfect power (a square), and thus also a powerful number.

821466697104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 511179469 + ... + 511181075.

Almost surely, 2^821466697104 is an apocalyptic number.

821466697104 is the 906348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821466697104

821466697104 is an abundant number, since it is smaller than the sum of its proper divisors (1528916612443).

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

821466697104 is an equidigital number, since it uses as much as digits as its factorization.

821466697104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 821466697104 in words is "eight hundred twenty-one billion, four hundred sixty-six million, six hundred ninety-seven thousand, one hundred four".