1353345995556 has 81 divisors (see below), whose sum is σ = 3507172635603. Its totient is φ = 440019452160.

The previous prime is 1353345995501. The next prime is 1353345995557. The reversal of 1353345995556 is 6555995433531.

It is a happy number.

The square root of 1353345995556 is 1163334.

It is a perfect power (a square), and thus also a powerful number.

1353345995556 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 34 + 599 + 5 + 5 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1180556133156 + 172789862400 = 1086534^2 + 415680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1353345995493 and 1353345995502.

It is not an unprimeable number, because it can be changed into a prime (1353345995557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286177800 + ... + 286182528.

Almost surely, 2^{1353345995556} is an apocalyptic number.

1353345995556 is the 1163334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353345995556

1353345995556 is an abundant number, since it is smaller than the sum of its proper divisors (2153826640047).

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

1353345995556 is an frugal number, since it uses more digits than its factorization.

1353345995556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 4775 counting only the distinct ones).

The product of its digits is 164025000, while the sum is 63.

It can be divided in two parts, 13533 and 45995556, that added together give a square (46009089 = 6783²).

The spelling of 1353345995556 in words is "one trillion, three hundred fifty-three billion, three hundred forty-five million, nine hundred ninety-five thousand, five hundred fifty-six".