1351113405642 has 512 divisors, whose sum is σ = 4114789539840. Its totient is φ = 317290659840.

The previous prime is 1351113405637. The next prime is 1351113405689. The reversal of 1351113405642 is 2465043111531.

1351113405642 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 1 + 3 + 4 + 0 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1351113405597 and 1351113405606.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 698971308 + ... + 698973240.

It is an arithmetic number, because the mean of its divisors is an integer number (8036698320).

Almost surely, 2^{1351113405642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351113405642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057394769920).

1351113405642 is an abundant number, since it is smaller than the sum of its proper divisors (2763676134198).

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

1351113405642 is a wasteful number, since it uses less digits than its factorization.

1351113405642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1351113405642 in words is "one trillion, three hundred fifty-one billion, one hundred thirteen million, four hundred five thousand, six hundred forty-two".