11062146942000 has 3840 divisors, whose sum is σ = 54148814254080. Its totient is φ = 2104565760000.

The previous prime is 11062146941947. The next prime is 11062146942013. The reversal of 11062146942000 is 24964126011.

11062146942000 is a `hidden beast` number, since 1 + 1 + 0 + 621 + 4 + 6 + 9 + 4 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 31879385827 + ... + 31879386173.

It is an arithmetic number, because the mean of its divisors is an integer number (14101253712).

Almost surely, 2^{11062146942000} is an apocalyptic number.

11062146942000 is a gapful number since it is divisible by the number (10) 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 11062146942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27074407127040).

11062146942000 is an abundant number, since it is smaller than the sum of its proper divisors (43086667312080).

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

11062146942000 is a wasteful number, since it uses less digits than its factorization.

11062146942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11062146942000 in words is "eleven trillion, sixty-two billion, one hundred forty-six million, nine hundred forty-two thousand".