1110661072488 has 864 divisors, whose sum is σ = 3739175720280. Its totient is φ = 296342323200.

The previous prime is 1110661072483. The next prime is 1110661072501. The reversal of 1110661072488 is 8842701660111.

1110661072488 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 6 + 610 + 7 + 24 + 8 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 707789055204 + 402872017284 = 841302^2 + 634722^2 .

It is a super-3 number, since 3×1110661072488³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1110661072483) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4608552048 + ... + 4608552288.

Almost surely, 2^{1110661072488} is an apocalyptic number.

1110661072488 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 1110661072488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869587860140).

1110661072488 is an abundant number, since it is smaller than the sum of its proper divisors (2628514647792).

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

1110661072488 is a wasteful number, since it uses less digits than its factorization.

1110661072488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1110661072488 in words is "one trillion, one hundred ten billion, six hundred sixty-one million, seventy-two thousand, four hundred eighty-eight".