221372358480 has 1440 divisors, whose sum is σ = 1010323501824. Its totient is φ = 43858132992.

The previous prime is 221372358479. The next prime is 221372358481. The reversal of 221372358480 is 84853273122.

221372358480 is a `hidden beast` number, since 2 + 2 + 137 + 2 + 35 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (221372358479) and next prime (221372358481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221372358481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 511252344 + ... + 511252776.

Almost surely, 2^221372358480 is an apocalyptic number.

221372358480 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 221372358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505161750912).

221372358480 is an abundant number, since it is smaller than the sum of its proper divisors (788951143344).

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

221372358480 is a wasteful number, since it uses less digits than its factorization.

221372358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 221372358480 in words is "two hundred twenty-one billion, three hundred seventy-two million, three hundred fifty-eight thousand, four hundred eighty".