1142891931168 has 336 divisors, whose sum is σ = 3758371044120. Its totient is φ = 339530268672.

The previous prime is 1142891931133. The next prime is 1142891931173. The reversal of 1142891931168 is 8611391982411.

1142891931168 is a `hidden beast` number, since 1 + 14 + 289 + 193 + 1 + 168 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 834613799184 + 308278131984 = 913572^2 + 555228^2 .

It is a super-3 number, since 3×1142891931168³ (a number of 37 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8729680 + ... + 8859632.

Almost surely, 2^{1142891931168} is an apocalyptic number.

1142891931168 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 1142891931168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879185522060).

1142891931168 is an abundant number, since it is smaller than the sum of its proper divisors (2615479112952).

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

1142891931168 is a wasteful number, since it uses less digits than its factorization.

1142891931168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130023 (or 130000 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 1142891931168 in words is "one trillion, one hundred forty-two billion, eight hundred ninety-one million, nine hundred thirty-one thousand, one hundred sixty-eight".