223567977338880 has 384 divisors, whose sum is σ = 718673207616000. Its totient is φ = 59332403658752.

The previous prime is 223567977338819. The next prime is 223567977338887. The reversal of 223567977338880 is 88833779765322.

223567977338880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×223567977338880² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223567977338796 and 223567977338805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223567977338887) 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, 25264768696 + ... + 25264777544.

It is an arithmetic number, because the mean of its divisors is an integer number (1871544811500).

Almost surely, 2^{223567977338880} is an apocalyptic number.

223567977338880 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 223567977338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359336603808000).

223567977338880 is an abundant number, since it is smaller than the sum of its proper divisors (495105230277120).

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

223567977338880 is a wasteful number, since it uses less digits than its factorization.

223567977338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 78.

The spelling of 223567977338880 in words is "two hundred twenty-three trillion, five hundred sixty-seven billion, nine hundred seventy-seven million, three hundred thirty-eight thousand, eight hundred eighty".