1336950309408 has 576 divisors, whose sum is σ = 4310512754688. Its totient is φ = 361413212160.

The previous prime is 1336950309379. The next prime is 1336950309437. The reversal of 1336950309408 is 8049030596331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1336950309379) and next prime (1336950309437).

It is a super-2 number, since 2×1336950309408² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831953341 + ... + 831954947.

It is an arithmetic number, because the mean of its divisors is an integer number (7483529088).

Almost surely, 2^{1336950309408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336950309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155256377344).

1336950309408 is an abundant number, since it is smaller than the sum of its proper divisors (2973562445280).

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

1336950309408 is a wasteful number, since it uses less digits than its factorization.

1336950309408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 1336950309408 in words is "one trillion, three hundred thirty-six billion, nine hundred fifty million, three hundred nine thousand, four hundred eight".