1083687631488 has 2160 divisors, whose sum is σ = 4452276344670. Its totient is φ = 260576870400.

The previous prime is 1083687631483. The next prime is 1083687631501. The reversal of 1083687631488 is 8841367863801.

1083687631488 is a `hidden beast` number, since 1 + 0 + 83 + 6 + 8 + 76 + 3 + 1 + 488 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 919895828544 + 163791802944 = 959112^2 + 404712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1083687631483) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 17765370978 + ... + 17765371038.

Almost surely, 2^{1083687631488} is an apocalyptic number.

1083687631488 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 1083687631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226138172335).

1083687631488 is an abundant number, since it is smaller than the sum of its proper divisors (3368588713182).

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

1083687631488 is a wasteful number, since it uses less digits than its factorization.

1083687631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1083687631488 in words is "one trillion, eighty-three billion, six hundred eighty-seven million, six hundred thirty-one thousand, four hundred eighty-eight".