1162748142864 has 675 divisors, whose sum is σ = 4314104212341. Its totient is φ = 301236122880.

The previous prime is 1162748142793. The next prime is 1162748142887. The reversal of 1162748142864 is 4682418472611.

The square root of 1162748142864 is 1078308.

It is a perfect power (a square), and thus also a powerful number.

1162748142864 is a `hidden beast` number, since 1 + 1 + 62 + 7 + 481 + 42 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 274479592464 + 888268550400 = 523908^2 + 942480^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 1162748142864.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2989069582 + ... + 2989069970.

Almost surely, 2^{1162748142864} is an apocalyptic number.

1162748142864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1162748142864 is the 1078308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1162748142864

1162748142864 is an abundant number, since it is smaller than the sum of its proper divisors (3151356069477).

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

1162748142864 is an equidigital number, since it uses as much as digits as its factorization.

1162748142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 412 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 1162748142864 in words is "one trillion, one hundred sixty-two billion, seven hundred forty-eight million, one hundred forty-two thousand, eight hundred sixty-four".