1225929386304 has 336 divisors, whose sum is σ = 4351017610368. Its totient is φ = 321994358784.

The previous prime is 1225929386291. The next prime is 1225929386323. The reversal of 1225929386304 is 4036839295221.

1225929386304 is a `hidden beast` number, since 1 + 2 + 259 + 2 + 9 + 3 + 86 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2739424 + ... + 3155360.

Almost surely, 2^{1225929386304} is an apocalyptic number.

1225929386304 is a gapful number since it is divisible by the number (14) 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 1225929386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175508805184).

1225929386304 is an abundant number, since it is smaller than the sum of its proper divisors (3125088224064).

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

1225929386304 is a wasteful number, since it uses less digits than its factorization.

1225929386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416022 (or 416009 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1225929386304 in words is "one trillion, two hundred twenty-five billion, nine hundred twenty-nine million, three hundred eighty-six thousand, three hundred four".