2353327811136 has 189 divisors, whose sum is σ = 6918361367593. Its totient is φ = 764818959360.

The previous prime is 2353327811089. The next prime is 2353327811183. The reversal of 2353327811136 is 6311187233532.

The square root of 2353327811136 is 1534056.

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

2353327811136 is a `hidden beast` number, since 2 + 3 + 533 + 2 + 7 + 81 + 1 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2353327811089) and next prime (2353327811183).

It can be written as a sum of positive squares in only one way, i.e., 113396521536 + 2239931289600 = 336744^2 + 1496640^2 .

It is a super-2 number, since 2×2353327811136² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2353327811091 and 2353327811100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1509510325 + ... + 1509511883.

Almost surely, 2^{2353327811136} is an apocalyptic number.

2353327811136 is the 1534056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353327811136

2353327811136 is an abundant number, since it is smaller than the sum of its proper divisors (4565033556457).

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

2353327811136 is an frugal number, since it uses more digits than its factorization.

2353327811136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 1605 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 2353327811136 in words is "two trillion, three hundred fifty-three billion, three hundred twenty-seven million, eight hundred eleven thousand, one hundred thirty-six".