1355171337216 has 440 divisors, whose sum is σ = 4108503158760. Its totient is φ = 444887728128.

The previous prime is 1355171337203. The next prime is 1355171337239. The reversal of 1355171337216 is 6127331715531.

It is a happy number.

1355171337216 is a `hidden beast` number, since 1 + 3 + 551 + 7 + 13 + 3 + 72 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51840000 + 1355119497216 = 7200^2 + 1164096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3129725736 + ... + 3129726168.

It is an arithmetic number, because the mean of its divisors is an integer number (9337507179).

Almost surely, 2^{1355171337216} is an apocalyptic number.

1355171337216 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 1355171337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054251579380).

1355171337216 is an abundant number, since it is smaller than the sum of its proper divisors (2753331821544).

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

1355171337216 is an equidigital number, since it uses as much as digits as its factorization.

1355171337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 924 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The spelling of 1355171337216 in words is "one trillion, three hundred fifty-five billion, one hundred seventy-one million, three hundred thirty-seven thousand, two hundred sixteen".