1048638007872 has 1792 divisors, whose sum is σ = 4194828288000. Its totient is φ = 249299804160.

The previous prime is 1048638007853. The next prime is 1048638007877. The reversal of 1048638007872 is 2787008368401.

It is a happy number.

1048638007872 is a `hidden beast` number, since 1 + 0 + 486 + 3 + 80 + 0 + 7 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1048638007877) 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 255 ways as a sum of consecutive naturals, for example, 5269537629 + ... + 5269537827.

It is an arithmetic number, because the mean of its divisors is an integer number (2340864000).

Almost surely, 2^{1048638007872} is an apocalyptic number.

1048638007872 is a gapful number since it is divisible by the number (12) 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 1048638007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097414144000).

1048638007872 is an abundant number, since it is smaller than the sum of its proper divisors (3146190280128).

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

1048638007872 is a wasteful number, since it uses less digits than its factorization.

1048638007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1048638007872 in words is "one trillion, forty-eight billion, six hundred thirty-eight million, seven thousand, eight hundred seventy-two".