81119481264000 has 2048 divisors, whose sum is σ = 333591693926400. Its totient is φ = 19269550080000.

The previous prime is 81119481263993. The next prime is 81119481264053. The reversal of 81119481264000 is 46218491118.

81119481264000 is a `hidden beast` number, since 8 + 1 + 119 + 4 + 8 + 126 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16384461525 + ... + 16384466475.

It is an arithmetic number, because the mean of its divisors is an integer number (162886569300).

Almost surely, 2^{81119481264000} is an apocalyptic number.

81119481264000 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 81119481264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795846963200).

81119481264000 is an abundant number, since it is smaller than the sum of its proper divisors (252472212662400).

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

81119481264000 is a wasteful number, since it uses less digits than its factorization.

81119481264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 81119481264000 in words is "eighty-one trillion, one hundred nineteen billion, four hundred eighty-one million, two hundred sixty-four thousand".