1143120087648 has 1536 divisors, whose sum is σ = 4541469327360. Its totient is φ = 270978048000.

The previous prime is 1143120087631. The next prime is 1143120087661. The reversal of 1143120087648 is 8467800213411.

1143120087648 is a `hidden beast` number, since 1 + 1 + 431 + 200 + 8 + 7 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3453534843 + ... + 3453535173.

It is an arithmetic number, because the mean of its divisors is an integer number (2956685760).

Almost surely, 2^{1143120087648} is an apocalyptic number.

1143120087648 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 1143120087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270734663680).

1143120087648 is an abundant number, since it is smaller than the sum of its proper divisors (3398349239712).

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

1143120087648 is a wasteful number, since it uses less digits than its factorization.

1143120087648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1143120087648 in words is "one trillion, one hundred forty-three billion, one hundred twenty million, eighty-seven thousand, six hundred forty-eight".