10722316533318 has 192 divisors, whose sum is σ = 26665982703360. Its totient is φ = 3086350573824.

The previous prime is 10722316533311. The next prime is 10722316533361. The reversal of 10722316533318 is 81333561322701.

10722316533318 is a `hidden beast` number, since 1 + 0 + 72 + 2 + 3 + 16 + 533 + 31 + 8 = 666.

It is a super-2 number, since 2×10722316533318² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722316533311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899290905 + ... + 899302827.

It is an arithmetic number, because the mean of its divisors is an integer number (138885326580).

Almost surely, 2^{10722316533318} is an apocalyptic number.

10722316533318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10722316533318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332991351680).

10722316533318 is an abundant number, since it is smaller than the sum of its proper divisors (15943666170042).

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

10722316533318 is a wasteful number, since it uses less digits than its factorization.

10722316533318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10722316533318 in words is "ten trillion, seven hundred twenty-two billion, three hundred sixteen million, five hundred thirty-three thousand, three hundred eighteen".