224025964081920 has 4608 divisors, whose sum is σ = 1107708529213440. Its totient is φ = 41375705333760.

The previous prime is 224025964081919. The next prime is 224025964082071. The reversal of 224025964081920 is 29180469520422.

224025964081920 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 596 + 40 + 8 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 108592322809 + ... + 108592324871.

It is an arithmetic number, because the mean of its divisors is an integer number (240388135680).

Almost surely, 2^{224025964081920} is an apocalyptic number.

224025964081920 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 224025964081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553854264606720).

224025964081920 is an abundant number, since it is smaller than the sum of its proper divisors (883682565131520).

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

224025964081920 is a wasteful number, since it uses less digits than its factorization.

224025964081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 224025964081920 in words is "two hundred twenty-four trillion, twenty-five billion, nine hundred sixty-four million, eighty-one thousand, nine hundred twenty".