1142757766656 has 400 divisors, whose sum is σ = 3732146573760. Its totient is φ = 345244446720.

The previous prime is 1142757766639. The next prime is 1142757766681. The reversal of 1142757766656 is 6566677572411.

It is a junction number, because it is equal to n+sod(n) for n = 1142757766593 and 1142757766602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158295015 + ... + 158302233.

Almost surely, 2^{1142757766656} is an apocalyptic number.

1142757766656 is a gapful number since it is divisible by the number (16) 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 1142757766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866073286880).

1142757766656 is an abundant number, since it is smaller than the sum of its proper divisors (2589388807104).

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

1142757766656 is an equidigital number, since it uses as much as digits as its factorization.

1142757766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7582 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 1142757766656 in words is "one trillion, one hundred forty-two billion, seven hundred fifty-seven million, seven hundred sixty-six thousand, six hundred fifty-six".