11071283046912 has 1920 divisors, whose sum is σ = 40393127174400. Its totient is φ = 2987576524800.

The previous prime is 11071283046899. The next prime is 11071283046947. The reversal of 11071283046912 is 21964038217011.

11071283046912 is a `hidden beast` number, since 1 + 107 + 1 + 2 + 83 + 0 + 469 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41157185914 + ... + 41157186182.

It is an arithmetic number, because the mean of its divisors is an integer number (21038087070).

Almost surely, 2^{11071283046912} is an apocalyptic number.

11071283046912 is a gapful number since it is divisible by the number (12) 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 11071283046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196563587200).

11071283046912 is an abundant number, since it is smaller than the sum of its proper divisors (29321844127488).

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

11071283046912 is a wasteful number, since it uses less digits than its factorization.

11071283046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11071283046912 in words is "eleven trillion, seventy-one billion, two hundred eighty-three million, forty-six thousand, nine hundred twelve".