1008582501648 has 160 divisors (see below), whose sum is σ = 2741418823680. Its totient is φ = 319100520960.

The previous prime is 1008582501643. The next prime is 1008582501677. The reversal of 1008582501648 is 8461052858001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1008582501597 and 1008582501606.

It is not an unprimeable number, because it can be changed into a prime (1008582501643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38878890 + ... + 38904822.

It is an arithmetic number, because the mean of its divisors is an integer number (17133867648).

Almost surely, 2^{1008582501648} 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 1008582501648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370709411840).

1008582501648 is an abundant number, since it is smaller than the sum of its proper divisors (1732836322032).

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

1008582501648 is a wasteful number, since it uses less digits than its factorization.

1008582501648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26477 (or 26471 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 1008582501648 in words is "one trillion, eight billion, five hundred eighty-two million, five hundred one thousand, six hundred forty-eight".