1056468331008 has 640 divisors, whose sum is σ = 3375401103360. Its totient is φ = 325465620480.

The previous prime is 1056468331007. The next prime is 1056468331013. The reversal of 1056468331008 is 8001338646501.

1056468331008 is a `hidden beast` number, since 1 + 0 + 56 + 468 + 33 + 100 + 8 = 666.

It is a super-2 number, since 2×1056468331008² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056468331007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196452935 + ... + 1196453817.

It is an arithmetic number, because the mean of its divisors is an integer number (5274064224).

Almost surely, 2^{1056468331008} is an apocalyptic number.

1056468331008 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 1056468331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687700551680).

1056468331008 is an abundant number, since it is smaller than the sum of its proper divisors (2318932772352).

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

1056468331008 is an equidigital number, since it uses as much as digits as its factorization.

1056468331008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1056468331008 in words is "one trillion, fifty-six billion, four hundred sixty-eight million, three hundred thirty-one thousand, eight".