1048747018800 has 480 divisors, whose sum is σ = 3748822560000. Its totient is φ = 248977797120.

The previous prime is 1048747018771. The next prime is 1048747018829. The reversal of 1048747018800 is 88107478401.

It is an interprime number because it is at equal distance from previous prime (1048747018771) and next prime (1048747018829).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1048747018800.

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, 48770451 + ... + 48791949.

It is an arithmetic number, because the mean of its divisors is an integer number (7810047000).

Almost surely, 2^{1048747018800} is an apocalyptic number.

1048747018800 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 1048747018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874411280000).

1048747018800 is an abundant number, since it is smaller than the sum of its proper divisors (2700075541200).

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

1048747018800 is a wasteful number, since it uses less digits than its factorization.

1048747018800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21634 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 1048747018800 in words is "one trillion, forty-eight billion, seven hundred forty-seven million, eighteen thousand, eight hundred".