1335070896016 has 160 divisors (see below), whose sum is σ = 3200025185280. Its totient is φ = 530494272000.

The previous prime is 1335070896011. The next prime is 1335070896017. The reversal of 1335070896016 is 6106980705331.

It is not an unprimeable number, because it can be changed into a prime (1335070896011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215226771 + ... + 215232973.

It is an arithmetic number, because the mean of its divisors is an integer number (20000157408).

Almost surely, 2^{1335070896016} is an apocalyptic number.

1335070896016 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 1335070896016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600012592640).

1335070896016 is an abundant number, since it is smaller than the sum of its proper divisors (1864954289264).

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

1335070896016 is a wasteful number, since it uses less digits than its factorization.

1335070896016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11199 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 1335070896016 in words is "one trillion, three hundred thirty-five billion, seventy million, eight hundred ninety-six thousand, sixteen".