1335822037968 has 160 divisors (see below), whose sum is σ = 3799205406720. Its totient is φ = 401086932480.

The previous prime is 1335822037967. The next prime is 1335822037981. The reversal of 1335822037968 is 8697302285331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335822037967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29737221 + ... + 29782107.

It is an arithmetic number, because the mean of its divisors is an integer number (23745033792).

Almost surely, 2^{1335822037968} 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 1335822037968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899602703360).

1335822037968 is an abundant number, since it is smaller than the sum of its proper divisors (2463383368752).

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

1335822037968 is a wasteful number, since it uses less digits than its factorization.

1335822037968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45425 (or 45419 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 1335822037968 in words is "one trillion, three hundred thirty-five billion, eight hundred twenty-two million, thirty-seven thousand, nine hundred sixty-eight".