1143987290064 has 320 divisors, whose sum is σ = 3396779020800. Its totient is φ = 368486350848.

The previous prime is 1143987290027. The next prime is 1143987290111. The reversal of 1143987290064 is 4600927893411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317155749 + ... + 317159355.

It is an arithmetic number, because the mean of its divisors is an integer number (10614934440).

Almost surely, 2^{1143987290064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143987290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698389510400).

1143987290064 is an abundant number, since it is smaller than the sum of its proper divisors (2252791730736).

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

1143987290064 is a wasteful number, since it uses less digits than its factorization.

1143987290064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1143987290064 in words is "one trillion, one hundred forty-three billion, nine hundred eighty-seven million, two hundred ninety thousand, sixty-four".