2046791016000 has 672 divisors, whose sum is σ = 7420208964480. Its totient is φ = 538513920000.

The previous prime is 2046791015981. The next prime is 2046791016013. The reversal of 2046791016000 is 6101976402.

2046791016000 is a `hidden beast` number, since 2 + 0 + 46 + 7 + 9 + 1 + 0 + 1 + 600 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2919815650 + ... + 2919816350.

Almost surely, 2^{2046791016000} is an apocalyptic number.

2046791016000 is a gapful number since it is divisible by the number (20) 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 2046791016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710104482240).

2046791016000 is an abundant number, since it is smaller than the sum of its proper divisors (5373417948480).

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

2046791016000 is a wasteful number, since it uses less digits than its factorization.

2046791016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2046791016000 in words is "two trillion, forty-six billion, seven hundred ninety-one million, sixteen thousand".