221146954323984 has 480 divisors, whose sum is σ = 701981681296896. Its totient is φ = 64481644339200.

The previous prime is 221146954323973. The next prime is 221146954324097. The reversal of 221146954323984 is 489323459641122.

It is a happy number.

221146954323984 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 6 + 9 + 543 + 2 + 3 + 9 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2424997492 + ... + 2425088684.

Almost surely, 2^{221146954323984} is an apocalyptic number.

221146954323984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221146954323984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350990840648448).

221146954323984 is an abundant number, since it is smaller than the sum of its proper divisors (480834726972912).

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

221146954323984 is a wasteful number, since it uses less digits than its factorization.

221146954323984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91767 (or 91758 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 221146954323984 in words is "two hundred twenty-one trillion, one hundred forty-six billion, nine hundred fifty-four million, three hundred twenty-three thousand, nine hundred eighty-four".