1335846314352 has 160 divisors (see below), whose sum is σ = 3886971217920. Its totient is φ = 391655808000.

The previous prime is 1335846314333. The next prime is 1335846314357. The reversal of 1335846314352 is 2534136485331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335846314357) 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, 124735174 + ... + 124745882.

It is an arithmetic number, because the mean of its divisors is an integer number (24293570112).

Almost surely, 2^{1335846314352} is an apocalyptic number.

1335846314352 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 1335846314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943485608960).

1335846314352 is an abundant number, since it is smaller than the sum of its proper divisors (2551124903568).

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

1335846314352 is a wasteful number, since it uses less digits than its factorization.

1335846314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18377 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 1335846314352 in words is "one trillion, three hundred thirty-five billion, eight hundred forty-six million, three hundred fourteen thousand, three hundred fifty-two".