81373670323200 has 2112 divisors, whose sum is σ = 329370461798400. Its totient is φ = 19597610188800.

The previous prime is 81373670323171. The next prime is 81373670323223. The reversal of 81373670323200 is 232307637318.

81373670323200 is a `hidden beast` number, since 8 + 1 + 373 + 6 + 70 + 3 + 2 + 3 + 200 = 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 191 ways as a sum of consecutive naturals, for example, 46261323921 + ... + 46261325679.

It is an arithmetic number, because the mean of its divisors is an integer number (155951923200).

Almost surely, 2^{81373670323200} is an apocalyptic number.

81373670323200 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 81373670323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164685230899200).

81373670323200 is an abundant number, since it is smaller than the sum of its proper divisors (247996791475200).

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

81373670323200 is a wasteful number, since it uses less digits than its factorization.

81373670323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 81373670323200 in words is "eighty-one trillion, three hundred seventy-three billion, six hundred seventy million, three hundred twenty-three thousand, two hundred".