221296979232 has 240 divisors, whose sum is σ = 745968484800. Its totient is φ = 63043702272.

The previous prime is 221296979231. The next prime is 221296979279. The reversal of 221296979232 is 232979692122.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221296979231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6278394 + ... + 6313542.

It is an arithmetic number, because the mean of its divisors is an integer number (3108202020).

Almost surely, 2^221296979232 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 221296979232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372984242400).

221296979232 is an abundant number, since it is smaller than the sum of its proper divisors (524671505568).

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

221296979232 is a wasteful number, since it uses less digits than its factorization.

221296979232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35525 (or 35508 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 221296979232 in words is "two hundred twenty-one billion, two hundred ninety-six million, nine hundred seventy-nine thousand, two hundred thirty-two".