81383370912144 has 840 divisors, whose sum is σ = 285379648819200. Its totient is φ = 22383570585600.

The previous prime is 81383370912133. The next prime is 81383370912161. The reversal of 81383370912144 is 44121907338318.

81383370912144 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 337 + 0 + 91 + 214 + 4 = 666.

It is a super-2 number, since 2×81383370912144² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3384052632 + ... + 3384076680.

Almost surely, 2^{81383370912144} is an apocalyptic number.

81383370912144 is a gapful number since it is divisible by the number (84) 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 81383370912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142689824409600).

81383370912144 is an abundant number, since it is smaller than the sum of its proper divisors (203996277907056).

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

81383370912144 is a wasteful number, since it uses less digits than its factorization.

81383370912144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24311 (or 24283 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 81383370912144 in words is "eighty-one trillion, three hundred eighty-three billion, three hundred seventy million, nine hundred twelve thousand, one hundred forty-four".