1008891678096 has 75 divisors (see below), whose sum is σ = 2920129879953. Its totient is φ = 336285172800.

The previous prime is 1008891678079. The next prime is 1008891678101. The reversal of 1008891678096 is 6908761988001.

The square root of 1008891678096 is 1004436.

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

It can be written as a sum of positive squares in only one way, i.e., 913484823696 + 95406854400 = 955764^2 + 308880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36145746 + ... + 36173646.

Almost surely, 2^{1008891678096} is an apocalyptic number.

1008891678096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1008891678096 is the 1004436-th square number.

It is an amenable number.

1008891678096 is an abundant number, since it is smaller than the sum of its proper divisors (1911238201857).

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

1008891678096 is an frugal number, since it uses more digits than its factorization.

1008891678096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55822 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 1008891678096 in words is "one trillion, eight billion, eight hundred ninety-one million, six hundred seventy-eight thousand, ninety-six".