222169872888768 has 448 divisors, whose sum is σ = 740991135744000. Its totient is φ = 57280876240896.

The previous prime is 222169872888713. The next prime is 222169872888823. The reversal of 222169872888768 is 867888278961222.

222169872888768 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 (222169872888713) and next prime (222169872888823).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×222169872888768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139580028 + ... + 141162756.

Almost surely, 2^{222169872888768} is an apocalyptic number.

222169872888768 is a gapful number since it is divisible by the number (28) 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 222169872888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370495567872000).

222169872888768 is an abundant number, since it is smaller than the sum of its proper divisors (518821262855232).

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

222169872888768 is a wasteful number, since it uses less digits than its factorization.

222169872888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583032 (or 1583022 counting only the distinct ones).

The product of its digits is 8323596288, while the sum is 84.

The spelling of 222169872888768 in words is "two hundred twenty-two trillion, one hundred sixty-nine billion, eight hundred seventy-two million, eight hundred eighty-eight thousand, seven hundred sixty-eight".