1355391561312 has 240 divisors, whose sum is σ = 4145758060752. Its totient is φ = 434053831680.

The previous prime is 1355391561257. The next prime is 1355391561317. The reversal of 1355391561312 is 2131651935531.

1355391561312 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 9 + 15 + 613 + 12 = 666.

It is a super-2 number, since 2×1355391561312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355391561317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6699138 + ... + 6898494.

Almost surely, 2^{1355391561312} is an apocalyptic number.

1355391561312 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 1355391561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072879030376).

1355391561312 is an abundant number, since it is smaller than the sum of its proper divisors (2790366499440).

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

1355391561312 is a wasteful number, since it uses less digits than its factorization.

1355391561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199483 (or 199466 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The spelling of 1355391561312 in words is "one trillion, three hundred fifty-five billion, three hundred ninety-one million, five hundred sixty-one thousand, three hundred twelve".