1466906112000 has 2080 divisors, whose sum is σ = 6491285458944. Its totient is φ = 322486272000.

The previous prime is 1466906111939. The next prime is 1466906112011. The reversal of 1466906112000 is 2116096641.

1466906112000 is a `hidden beast` number, since 14 + 6 + 6 + 9 + 0 + 611 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8999423919 + ... + 8999424081.

Almost surely, 2^{1466906112000} is an apocalyptic number.

1466906112000 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 1466906112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245642729472).

1466906112000 is an abundant number, since it is smaller than the sum of its proper divisors (5024379346944).

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

1466906112000 is an equidigital number, since it uses as much as digits as its factorization.

1466906112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1466906112000 in words is "one trillion, four hundred sixty-six billion, nine hundred six million, one hundred twelve thousand".