1355435274816 has 378 divisors, whose sum is σ = 4560975369522. Its totient is φ = 383738019840.

The previous prime is 1355435274793. The next prime is 1355435274841. The reversal of 1355435274816 is 6184725345531.

It is a happy number.

1355435274816 is a `hidden beast` number, since 1 + 3 + 5 + 543 + 52 + 7 + 48 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 108425318400 + 1247009956416 = 329280^2 + 1116696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 360390376 + ... + 360394136.

Almost surely, 2^{1355435274816} is an apocalyptic number.

1355435274816 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 1355435274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280487684761).

1355435274816 is an abundant number, since it is smaller than the sum of its proper divisors (3205540094706).

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

1355435274816 is a wasteful number, since it uses less digits than its factorization.

1355435274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 3886 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 1355435274816 in words is "one trillion, three hundred fifty-five billion, four hundred thirty-five million, two hundred seventy-four thousand, eight hundred sixteen".