221948693040 has 320 divisors, whose sum is σ = 733524480000. Its totient is φ = 55357074432.

The previous prime is 221948693023. The next prime is 221948693047. The reversal of 221948693040 is 40396849122.

It is a super-2 number, since 2×221948693040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (221948693047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234369847 + ... + 234370793.

It is an arithmetic number, because the mean of its divisors is an integer number (2292264000).

Almost surely, 2^221948693040 is an apocalyptic number.

221948693040 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 221948693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366762240000).

221948693040 is an abundant number, since it is smaller than the sum of its proper divisors (511575786960).

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

221948693040 is a wasteful number, since it uses less digits than its factorization.

221948693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 221948693040 in words is "two hundred twenty-one billion, nine hundred forty-eight million, six hundred ninety-three thousand, forty".