224880097478400 has 3456 divisors, whose sum is σ = 1051284553482240. Its totient is φ = 45774019952640.

The previous prime is 224880097478371. The next prime is 224880097478417. The reversal of 224880097478400 is 4874790088422.

224880097478400 is a `hidden beast` number, since 2 + 2 + 48 + 80 + 0 + 9 + 7 + 478 + 40 + 0 = 666.

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 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, 56121809197 + ... + 56121813203.

Almost surely, 2^{224880097478400} is an apocalyptic number.

224880097478400 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 224880097478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525642276741120).

224880097478400 is an abundant number, since it is smaller than the sum of its proper divisors (826404456003840).

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

224880097478400 is a wasteful number, since it uses less digits than its factorization.

224880097478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 224880097478400 in words is "two hundred twenty-four trillion, eight hundred eighty billion, ninety-seven million, four hundred seventy-eight thousand, four hundred".