10863974264832 has 1456 divisors, whose sum is σ = 37739978504928. Its totient is φ = 3095868211200.

The previous prime is 10863974264809. The next prime is 10863974264839. The reversal of 10863974264832 is 23846247936801.

10863974264832 is a `hidden beast` number, since 1 + 0 + 8 + 63 + 9 + 74 + 26 + 483 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10863974264832.

It is not an unprimeable number, because it can be changed into a prime (10863974264839) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 66650148783 + ... + 66650148945.

Almost surely, 2^{10863974264832} is an apocalyptic number.

10863974264832 is a gapful number since it is divisible by the number (12) 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 10863974264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869989252464).

10863974264832 is an abundant number, since it is smaller than the sum of its proper divisors (26876004240096).

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

10863974264832 is a wasteful number, since it uses less digits than its factorization.

10863974264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 10863974264832 in words is "ten trillion, eight hundred sixty-three billion, nine hundred seventy-four million, two hundred sixty-four thousand, eight hundred thirty-two".