221983382615520 has 768 divisors, whose sum is σ = 731495601930240. Its totient is φ = 56523781324800.

The previous prime is 221983382615497. The next prime is 221983382615591. The reversal of 221983382615520 is 25516283389122.

It is a happy number.

It is a super-2 number, since 2×221983382615520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300383467311 + ... + 300383468049.

It is an arithmetic number, because the mean of its divisors is an integer number (952468231680).

Almost surely, 2^{221983382615520} is an apocalyptic number.

221983382615520 is a gapful number since it is divisible by the number (20) 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 221983382615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365747800965120).

221983382615520 is an abundant number, since it is smaller than the sum of its proper divisors (509512219314720).

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

221983382615520 is a wasteful number, since it uses less digits than its factorization.

221983382615520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 221983382615520 in words is "two hundred twenty-one trillion, nine hundred eighty-three billion, three hundred eighty-two million, six hundred fifteen thousand, five hundred twenty".