1293353865216 has 416 divisors, whose sum is σ = 4609606476800. Its totient is φ = 350076764160.

The previous prime is 1293353865173. The next prime is 1293353865253. The reversal of 1293353865216 is 6125683533921.

1293353865216 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 35 + 3 + 86 + 521 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14664771 + ... + 14752701.

It is an arithmetic number, because the mean of its divisors is an integer number (11080784800).

Almost surely, 2^{1293353865216} is an apocalyptic number.

1293353865216 is a gapful number since it is divisible by the number (16) 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 1293353865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304803238400).

1293353865216 is an abundant number, since it is smaller than the sum of its proper divisors (3316252611584).

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

1293353865216 is an equidigital number, since it uses as much as digits as its factorization.

1293353865216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87990 (or 87962 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

It can be divided in two parts, 129335 and 3865216, that added together give a triangular number (3994551 = T₂₈₂₆).

The spelling of 1293353865216 in words is "one trillion, two hundred ninety-three billion, three hundred fifty-three million, eight hundred sixty-five thousand, two hundred sixteen".