10168266867984 has 225 divisors, whose sum is σ = 29758116335871. Its totient is φ = 3352037126400.

The previous prime is 10168266867901. The next prime is 10168266868033. The reversal of 10168266867984 is 48976866286101.

The square root of 10168266867984 is 3188772.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6856332771600 + 3311934096384 = 2618460^2 + 1819872^2 .

It is a super-2 number, since 2×10168266867984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11594374554 + ... + 11594375430.

Almost surely, 2^{10168266867984} is an apocalyptic number.

10168266867984 is the 3188772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168266867984

10168266867984 is an abundant number, since it is smaller than the sum of its proper divisors (19589849467887).

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

10168266867984 is an frugal number, since it uses more digits than its factorization.

10168266867984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 10168266867984 in words is "ten trillion, one hundred sixty-eight billion, two hundred sixty-six million, eight hundred sixty-seven thousand, nine hundred eighty-four".