1335947985792 has 288 divisors, whose sum is σ = 4538733867720. Its totient is φ = 376001353728.

The previous prime is 1335947985731. The next prime is 1335947985797. The reversal of 1335947985792 is 2975897495331.

1335947985792 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 9 + 47 + 9 + 8 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1335947985792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335947985797) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3605398 + ... + 3958634.

Almost surely, 2^{1335947985792} is an apocalyptic number.

1335947985792 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 1335947985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269366933860).

1335947985792 is an abundant number, since it is smaller than the sum of its proper divisors (3202785881928).

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

1335947985792 is a wasteful number, since it uses less digits than its factorization.

1335947985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353338 (or 353316 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 1335947985792 in words is "one trillion, three hundred thirty-five billion, nine hundred forty-seven million, nine hundred eighty-five thousand, seven hundred ninety-two".