1008987937848 has 1152 divisors, whose sum is σ = 3450807360000. Its totient is φ = 275042718720.

The previous prime is 1008987937831. The next prime is 1008987937861. The reversal of 1008987937848 is 8487397898001.

1008987937848 is a `hidden beast` number, since 100 + 89 + 8 + 79 + 378 + 4 + 8 = 666.

It is a super-2 number, since 2×1008987937848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9256770018 + ... + 9256770126.

It is an arithmetic number, because the mean of its divisors is an integer number (2995492500).

Almost surely, 2^{1008987937848} is an apocalyptic number.

1008987937848 is a gapful number since it is divisible by the number (18) 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 1008987937848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725403680000).

1008987937848 is an abundant number, since it is smaller than the sum of its proper divisors (2441819422152).

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

1008987937848 is a wasteful number, since it uses less digits than its factorization.

1008987937848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 1008987937848 in words is "one trillion, eight billion, nine hundred eighty-seven million, nine hundred thirty-seven thousand, eight hundred forty-eight".