8181396099072 has 1560 divisors, whose sum is σ = 30325617933600. Its totient is φ = 2194196594688.

The previous prime is 8181396099061. The next prime is 8181396099109. The reversal of 8181396099072 is 2709906931818.

8181396099072 is a `hidden beast` number, since 8 + 1 + 8 + 13 + 9 + 609 + 9 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×8181396099072³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75058679754 + ... + 75058679862.

Almost surely, 2^{8181396099072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8181396099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162808966800).

8181396099072 is an abundant number, since it is smaller than the sum of its proper divisors (22144221834528).

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

8181396099072 is an frugal number, since it uses more digits than its factorization.

8181396099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 8181396099072 in words is "eight trillion, one hundred eighty-one billion, three hundred ninety-six million, ninety-nine thousand, seventy-two".