221465137288320 has 2048 divisors, whose sum is σ = 917241864192000. Its totient is φ = 50121533030400.

The previous prime is 221465137288313. The next prime is 221465137288327. The reversal of 221465137288320 is 23882731564122.

221465137288320 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 5 + 1 + 37 + 288 + 320 = 666.

221465137288320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221465137288313) and next prime (221465137288327).

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

It is not an unprimeable number, because it can be changed into a prime (221465137288327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10554492549 + ... + 10554513531.

It is an arithmetic number, because the mean of its divisors is an integer number (447872004000).

Almost surely, 2^{221465137288320} is an apocalyptic number.

221465137288320 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 221465137288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458620932096000).

221465137288320 is an abundant number, since it is smaller than the sum of its proper divisors (695776726903680).

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

221465137288320 is a wasteful number, since it uses less digits than its factorization.

221465137288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 221465137288320 in words is "two hundred twenty-one trillion, four hundred sixty-five billion, one hundred thirty-seven million, two hundred eighty-eight thousand, three hundred twenty".