10974494456820 has 768 divisors, whose sum is σ = 38288542924800. Its totient is φ = 2596701265920.

The previous prime is 10974494456801. The next prime is 10974494456857. The reversal of 10974494456820 is 2865449447901.

10974494456820 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 4 + 4 + 9 + 44 + 568 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3062932749 + ... + 3062936331.

It is an arithmetic number, because the mean of its divisors is an integer number (49854873600).

Almost surely, 2^{10974494456820} is an apocalyptic number.

10974494456820 is a gapful number since it is divisible by the number (10) 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 10974494456820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144271462400).

10974494456820 is an abundant number, since it is smaller than the sum of its proper divisors (27314048467980).

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

10974494456820 is a wasteful number, since it uses less digits than its factorization.

10974494456820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 10974494456820 in words is "ten trillion, nine hundred seventy-four billion, four hundred ninety-four million, four hundred fifty-six thousand, eight hundred twenty".