81029114268480 has 448 divisors, whose sum is σ = 333639647354880. Its totient is φ = 18126877206528.

The previous prime is 81029114268469. The next prime is 81029114268481. The reversal of 81029114268480 is 8486241192018.

81029114268480 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 91 + 14 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81029114268481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11410282 + ... + 17095401.

Almost surely, 2^{81029114268480} is an apocalyptic number.

81029114268480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81029114268480 is an abundant number, since it is smaller than the sum of its proper divisors (252610533086400).

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

81029114268480 is a wasteful number, since it uses less digits than its factorization.

81029114268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28505763 (or 28505747 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 81029114268480 in words is "eighty-one trillion, twenty-nine billion, one hundred fourteen million, two hundred sixty-eight thousand, four hundred eighty".