1072311303168 has 264 divisors, whose sum is σ = 3541366333440. Its totient is φ = 306135244800.

The previous prime is 1072311303139. The next prime is 1072311303199. The reversal of 1072311303168 is 8613031132701.

1072311303168 is a `hidden beast` number, since 107 + 231 + 1 + 3 + 0 + 316 + 8 = 666.

It is a super-2 number, since 2×1072311303168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92826993 + ... + 92838543.

Almost surely, 2^{1072311303168} is an apocalyptic number.

1072311303168 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 1072311303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770683166720).

1072311303168 is an abundant number, since it is smaller than the sum of its proper divisors (2469055030272).

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

1072311303168 is a wasteful number, since it uses less digits than its factorization.

1072311303168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13023 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1072311303168 its reverse (8613031132701), we get a palindrome (9685342435869).

The spelling of 1072311303168 in words is "one trillion, seventy-two billion, three hundred eleven million, three hundred three thousand, one hundred sixty-eight".