1353006323344 has 45 divisors (see below), whose sum is σ = 2838738174363. Its totient is φ = 624436540416.

The previous prime is 1353006323329. The next prime is 1353006323411. The reversal of 1353006323344 is 4433236003531.

The square root of 1353006323344 is 1163188.

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

It can be written as a sum of positive squares in 4 ways, for example, as 235943347600 + 1117062975744 = 485740^2 + 1056912^2 .

It is a super-2 number, since 2×1353006323344² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60474592 + ... + 60496960.

Almost surely, 2^{1353006323344} is an apocalyptic number.

1353006323344 is the 1163188-th square number.

It is an amenable number.

1353006323344 is an abundant number, since it is smaller than the sum of its proper divisors (1485731851019).

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

1353006323344 is an frugal number, since it uses more digits than its factorization.

1353006323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44772 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 37.

The spelling of 1353006323344 in words is "one trillion, three hundred fifty-three billion, six million, three hundred twenty-three thousand, three hundred forty-four".