1335775836672 has 560 divisors, whose sum is σ = 4271970808512. Its totient is φ = 415609159680.

The previous prime is 1335775836671. The next prime is 1335775836673. The reversal of 1335775836672 is 2766385775331.

It is a happy number.

1335775836672 is a `hidden beast` number, since 1 + 3 + 3 + 577 + 58 + 3 + 6 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1335775836671) and next prime (1335775836673).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1335775836671) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 831222493 + ... + 831224099.

Almost surely, 2^{1335775836672} is an apocalyptic number.

1335775836672 is a gapful number since it is divisible by the number (12) 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 1335775836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135985404256).

1335775836672 is an abundant number, since it is smaller than the sum of its proper divisors (2936194971840).

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

1335775836672 is an equidigital number, since it uses as much as digits as its factorization.

1335775836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1760 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 1335775836672 in words is "one trillion, three hundred thirty-five billion, seven hundred seventy-five million, eight hundred thirty-six thousand, six hundred seventy-two".