1334953206336 has 224 divisors, whose sum is σ = 3788307993600. Its totient is φ = 413952860160.

The previous prime is 1334953206331. The next prime is 1334953206343. The reversal of 1334953206336 is 6336023594331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1334953206331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39510346 + ... + 39544118.

Almost surely, 2^{1334953206336} is an apocalyptic number.

1334953206336 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 1334953206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894153996800).

1334953206336 is an abundant number, since it is smaller than the sum of its proper divisors (2453354787264).

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

1334953206336 is a wasteful number, since it uses less digits than its factorization.

1334953206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34077 (or 34067 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 48.

The spelling of 1334953206336 in words is "one trillion, three hundred thirty-four billion, nine hundred fifty-three million, two hundred six thousand, three hundred thirty-six".