2446142663000 has 128 divisors (see below), whose sum is σ = 5922644832000. Its totient is φ = 944510963200.

The previous prime is 2446142662991. The next prime is 2446142663033. The reversal of 2446142663000 is 3662416442.

2446142663000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2446142663000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248612081 + ... + 248621919.

It is an arithmetic number, because the mean of its divisors is an integer number (46270662750).

Almost surely, 2^{2446142663000} is an apocalyptic number.

2446142663000 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 2446142663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961322416000).

2446142663000 is an abundant number, since it is smaller than the sum of its proper divisors (3476502169000).

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

2446142663000 is a wasteful number, since it uses less digits than its factorization.

2446142663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18462 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 2446142663000 in words is "two trillion, four hundred forty-six billion, one hundred forty-two million, six hundred sixty-three thousand".