1143770945760 has 1152 divisors, whose sum is σ = 4428657192960. Its totient is φ = 277995110400.

The previous prime is 1143770945743. The next prime is 1143770945771. The reversal of 1143770945760 is 675490773411.

1143770945760 is a `hidden beast` number, since 1 + 1 + 437 + 70 + 94 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1143770945697 and 1143770945706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1502983780 + ... + 1502984540.

It is an arithmetic number, because the mean of its divisors is an integer number (3844320480).

Almost surely, 2^{1143770945760} is an apocalyptic number.

1143770945760 is a gapful number since it is divisible by the number (10) 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 1143770945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214328596480).

1143770945760 is an abundant number, since it is smaller than the sum of its proper divisors (3284886247200).

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

1143770945760 is a wasteful number, since it uses less digits than its factorization.

1143770945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1143770945760 in words is "one trillion, one hundred forty-three billion, seven hundred seventy million, nine hundred forty-five thousand, seven hundred sixty".