10818311657472 has 768 divisors, whose sum is σ = 36937555200000. Its totient is φ = 3097649479680.

The previous prime is 10818311657441. The next prime is 10818311657497. The reversal of 10818311657472 is 27475611381801.

It is a happy number.

10818311657472 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 8 + 3 + 1 + 165 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829046404 + ... + 829059452.

It is an arithmetic number, because the mean of its divisors is an integer number (48095775000).

Almost surely, 2^{10818311657472} is an apocalyptic number.

10818311657472 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 10818311657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468777600000).

10818311657472 is an abundant number, since it is smaller than the sum of its proper divisors (26119243542528).

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

10818311657472 is a wasteful number, since it uses less digits than its factorization.

10818311657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 10818311657472 in words is "ten trillion, eight hundred eighteen billion, three hundred eleven million, six hundred fifty-seven thousand, four hundred seventy-two".