8181496350720 has 4608 divisors, whose sum is σ = 40154849280000. Its totient is φ = 1573679923200.

The previous prime is 8181496350679. The next prime is 8181496350847. The reversal of 8181496350720 is 270536941818.

8181496350720 is a `hidden beast` number, since 8 + 1 + 81 + 496 + 3 + 5 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 263919237105 + ... + 263919237135.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160000).

It is a 1-persistent number, because it is pandigital, but 2⋅8181496350720 = 16362992701440 is not.

Almost surely, 2^{8181496350720} is an apocalyptic number.

8181496350720 is a gapful number since it is divisible by the number (80) 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 8181496350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640000).

8181496350720 is an abundant number, since it is smaller than the sum of its proper divisors (31973352929280).

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

8181496350720 is a wasteful number, since it uses less digits than its factorization.

8181496350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8181496350720 in words is "eight trillion, one hundred eighty-one billion, four hundred ninety-six million, three hundred fifty thousand, seven hundred twenty".