221947708464 has 480 divisors, whose sum is σ = 678939580800. Its totient is φ = 67516416000.

The previous prime is 221947708459. The next prime is 221947708501. The reversal of 221947708464 is 464807749122.

221947708464 is a `hidden beast` number, since 2 + 21 + 94 + 7 + 70 + 8 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221947708464.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1489581862 + ... + 1489582010.

It is an arithmetic number, because the mean of its divisors is an integer number (1414457460).

Almost surely, 2^221947708464 is an apocalyptic number.

221947708464 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 221947708464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339469790400).

221947708464 is an abundant number, since it is smaller than the sum of its proper divisors (456991872336).

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

221947708464 is a wasteful number, since it uses less digits than its factorization.

221947708464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 221947708464 in words is "two hundred twenty-one billion, nine hundred forty-seven million, seven hundred eight thousand, four hundred sixty-four".