1049647104000 has 1440 divisors, whose sum is σ = 4286917619712. Its totient is φ = 244776960000.

The previous prime is 1049647103987. The next prime is 1049647104001. The reversal of 1049647104000 is 4017469401.

1049647104000 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 647 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1049647104000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049647104001) by changing a digit.

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, 6285311917 + ... + 6285312083.

Almost surely, 2^{1049647104000} is an apocalyptic number.

1049647104000 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 1049647104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143458809856).

1049647104000 is an abundant number, since it is smaller than the sum of its proper divisors (3237270515712).

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

1049647104000 is a wasteful number, since it uses less digits than its factorization.

1049647104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 10496 and 47104000, that added together give a square (47114496 = 6864²).

The spelling of 1049647104000 in words is "one trillion, forty-nine billion, six hundred forty-seven million, one hundred four thousand".