221012971824 has 160 divisors (see below), whose sum is σ = 603999944704. Its totient is φ = 69545329920.

The previous prime is 221012971819. The next prime is 221012971841. The reversal of 221012971824 is 428179210122.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10257927 + ... + 10279449.

Almost surely, 2^221012971824 is an apocalyptic number.

221012971824 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 221012971824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301999972352).

221012971824 is an abundant number, since it is smaller than the sum of its proper divisors (382986972880).

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

221012971824 is a wasteful number, since it uses less digits than its factorization.

221012971824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21735 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 221012971824 in words is "two hundred twenty-one billion, twelve million, nine hundred seventy-one thousand, eight hundred twenty-four".