1048836096000 has 1440 divisors, whose sum is σ = 4720712855040. Its totient is φ = 217645056000.

The previous prime is 1048836095987. The next prime is 1048836096001. The reversal of 1048836096000 is 6906388401.

1048836096000 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 36 + 0 + 9 + 600 + 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 2×1048836096000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1048836096001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419263631 + ... + 1419264369.

It is an arithmetic number, because the mean of its divisors is an integer number (3278272816).

Almost surely, 2^{1048836096000} is an apocalyptic number.

1048836096000 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 1048836096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360356427520).

1048836096000 is an abundant number, since it is smaller than the sum of its proper divisors (3671876759040).

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

1048836096000 is an equidigital number, since it uses as much as digits as its factorization.

1048836096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1048836096000 in words is "one trillion, forty-eight billion, eight hundred thirty-six million, ninety-six thousand".