224009694478080 has 3456 divisors, whose sum is σ = 967906111011840. Its totient is φ = 49491323191296.

The previous prime is 224009694478057. The next prime is 224009694478093. The reversal of 224009694478080 is 80874496900422.

224009694478080 is a `hidden beast` number, since 2 + 24 + 0 + 0 + 9 + 69 + 4 + 478 + 0 + 80 = 666.

224009694478080 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 (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 224009694477999 and 224009694478017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 961414997644 + ... + 961414997876.

It is an arithmetic number, because the mean of its divisors is an integer number (280065425640).

Almost surely, 2^{224009694478080} is an apocalyptic number.

224009694478080 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 224009694478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483953055505920).

224009694478080 is an abundant number, since it is smaller than the sum of its proper divisors (743896416533760).

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

224009694478080 is an equidigital number, since it uses as much as digits as its factorization.

224009694478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 224009694478080 in words is "two hundred twenty-four trillion, nine billion, six hundred ninety-four million, four hundred seventy-eight thousand, eighty".