221914921536 has 1344 divisors, whose sum is σ = 870354042880. Its totient is φ = 54195609600.

The previous prime is 221914921531. The next prime is 221914921561. The reversal of 221914921536 is 635129419122.

It is a happy number.

221914921536 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 1 + 492 + 153 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 221914921491 and 221914921500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221914921531) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3039930396 + ... + 3039930468.

Almost surely, 2^221914921536 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 221914921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435177021440).

221914921536 is an abundant number, since it is smaller than the sum of its proper divisors (648439121344).

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

221914921536 is a wasteful number, since it uses less digits than its factorization.

221914921536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 221914921536 in words is "two hundred twenty-one billion, nine hundred fourteen million, nine hundred twenty-one thousand, five hundred thirty-six".