2001048126336 has 896 divisors, whose sum is σ = 7049482752000. Its totient is φ = 565244531712.

The previous prime is 2001048126331. The next prime is 2001048126349. The reversal of 2001048126336 is 6336218401002.

2001048126336 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 4 + 8 + 12 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001048126336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001048126331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3296619345 + ... + 3296619951.

Almost surely, 2^{2001048126336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001048126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524741376000).

2001048126336 is an abundant number, since it is smaller than the sum of its proper divisors (5048434625664).

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

2001048126336 is an frugal number, since it uses more digits than its factorization.

2001048126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2001048126336 in words is "two trillion, one billion, forty-eight million, one hundred twenty-six thousand, three hundred thirty-six".