223971745390848 has 1728 divisors, whose sum is σ = 839178622464000. Its totient is φ = 57027039068160.

The previous prime is 223971745390837. The next prime is 223971745390867. The reversal of 223971745390848 is 848093547179322.

223971745390848 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 7 + 1 + 7 + 4 + 539 + 0 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 241089068848 + ... + 241089069776.

Almost surely, 2^{223971745390848} is an apocalyptic number.

223971745390848 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 223971745390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419589311232000).

223971745390848 is an abundant number, since it is smaller than the sum of its proper divisors (615206877073152).

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

223971745390848 is a wasteful number, since it uses less digits than its factorization.

223971745390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 223971745390848 in words is "two hundred twenty-three trillion, nine hundred seventy-one billion, seven hundred forty-five million, three hundred ninety thousand, eight hundred forty-eight".