1355349287952 has 160 divisors (see below), whose sum is σ = 4275003346560. Its totient is φ = 407713812480.

The previous prime is 1355349287939. The next prime is 1355349287983. The reversal of 1355349287952 is 2597829435531.

1355349287952 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 349 + 287 + 9 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1355349287952.

It is an unprimeable number.

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, 389913 + ... + 1691960.

It is an arithmetic number, because the mean of its divisors is an integer number (26718770916).

Almost surely, 2^{1355349287952} is an apocalyptic number.

1355349287952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355349287952 is an abundant number, since it is smaller than the sum of its proper divisors (2919654058608).

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

1355349287952 is a wasteful number, since it uses less digits than its factorization.

1355349287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082038 (or 2082026 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 1355349287952 in words is "one trillion, three hundred fifty-five billion, three hundred forty-nine million, two hundred eighty-seven thousand, nine hundred fifty-two".