222475395785664 has 1344 divisors, whose sum is σ = 756828093127680. Its totient is φ = 56255038095360.

The previous prime is 222475395785659. The next prime is 222475395785677. The reversal of 222475395785664 is 466587593574222.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155251496692 + ... + 155251498124.

It is an arithmetic number, because the mean of its divisors is an integer number (563116140720).

Almost surely, 2^{222475395785664} is an apocalyptic number.

222475395785664 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 222475395785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378414046563840).

222475395785664 is an abundant number, since it is smaller than the sum of its proper divisors (534352697342016).

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

222475395785664 is a wasteful number, since it uses less digits than its factorization.

222475395785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1615 counting only the distinct ones).

The product of its digits is 6096384000, while the sum is 75.

The spelling of 222475395785664 in words is "two hundred twenty-two trillion, four hundred seventy-five billion, three hundred ninety-five million, seven hundred eighty-five thousand, six hundred sixty-four".