1005385350048 has 192 divisors, whose sum is σ = 2683340255232. Its totient is φ = 329570519040.

The previous prime is 1005385350001. The next prime is 1005385350061. The reversal of 1005385350048 is 8400535835001.

1005385350048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005385350048² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005385349991 and 1005385350009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353142765 + ... + 1353143507.

It is an arithmetic number, because the mean of its divisors is an integer number (13975730496).

Almost surely, 2^{1005385350048} 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 1005385350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341670127616).

1005385350048 is an abundant number, since it is smaller than the sum of its proper divisors (1677954905184).

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

1005385350048 is a wasteful number, since it uses less digits than its factorization.

1005385350048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 1005385350048 in words is "one trillion, five billion, three hundred eighty-five million, three hundred fifty thousand, forty-eight".