1351105656336 has 120 divisors (see below), whose sum is σ = 3879387000216. Its totient is φ = 438709831680.

The previous prime is 1351105656319. The next prime is 1351105656337. The reversal of 1351105656336 is 6336565011531.

1351105656336 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 0 + 5 + 6 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6247953936 + 1344857702400 = 79044^2 + 1159680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351105656291 and 1351105656300.

It is not an unprimeable number, because it can be changed into a prime (1351105656337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3680086 + ... + 4030538.

Almost surely, 2^{1351105656336} is an apocalyptic number.

1351105656336 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 1351105656336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939693500108).

1351105656336 is an abundant number, since it is smaller than the sum of its proper divisors (2528281343880).

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

1351105656336 is a wasteful number, since it uses less digits than its factorization.

1351105656336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351161 (or 351152 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 1351105656336 in words is "one trillion, three hundred fifty-one billion, one hundred five million, six hundred fifty-six thousand, three hundred thirty-six".