221428374452064 has 192 divisors, whose sum is σ = 695547698388480. Its totient is φ = 68128330314240.

The previous prime is 221428374452063. The next prime is 221428374452081. The reversal of 221428374452064 is 460254473824122.

221428374452064 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 28 + 37 + 4 + 4 + 520 + 64 = 666.

221428374452064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221428374452064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221428374452063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224045839 + ... + 225031985.

It is an arithmetic number, because the mean of its divisors is an integer number (3622644262440).

Almost surely, 2^{221428374452064} is an apocalyptic number.

221428374452064 is a gapful number since it is divisible by the number (24) 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 221428374452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347773849194240).

221428374452064 is an abundant number, since it is smaller than the sum of its proper divisors (474119323936416).

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

221428374452064 is a wasteful number, since it uses less digits than its factorization.

221428374452064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006170 (or 1006156 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 221428374452064 in words is "two hundred twenty-one trillion, four hundred twenty-eight billion, three hundred seventy-four million, four hundred fifty-two thousand, sixty-four".