11345414052042 has 128 divisors (see below), whose sum is σ = 28935877017600. Its totient is φ = 3227820710400.

The previous prime is 11345414052001. The next prime is 11345414052053. The reversal of 11345414052042 is 24025041454311.

11345414052042 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 41 + 405 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11345414051988 and 11345414052006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193476067 + ... + 193534697.

It is an arithmetic number, because the mean of its divisors is an integer number (226061539200).

Almost surely, 2^{11345414052042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11345414052042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467938508800).

11345414052042 is an abundant number, since it is smaller than the sum of its proper divisors (17590462965558).

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

11345414052042 is a wasteful number, since it uses less digits than its factorization.

11345414052042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60809 (or 60803 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11345414052042 in words is "eleven trillion, three hundred forty-five billion, four hundred fourteen million, fifty-two thousand, forty-two".