1081284957648 has 480 divisors, whose sum is σ = 3674511840000. Its totient is φ = 307289106432.

The previous prime is 1081284957637. The next prime is 1081284957673. The reversal of 1081284957648 is 8467594821801.

1081284957648 is a `hidden beast` number, since 1 + 0 + 8 + 12 + 8 + 4 + 9 + 576 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341205408 + ... + 341208576.

It is an arithmetic number, because the mean of its divisors is an integer number (7655233000).

Almost surely, 2^{1081284957648} is an apocalyptic number.

1081284957648 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 1081284957648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837255920000).

1081284957648 is an abundant number, since it is smaller than the sum of its proper divisors (2593226882352).

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

1081284957648 is an equidigital number, since it uses as much as digits as its factorization.

1081284957648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1081284957648 in words is "one trillion, eighty-one billion, two hundred eighty-four million, nine hundred fifty-seven thousand, six hundred forty-eight".