81416289024 has 864 divisors, whose sum is σ = 303966673920. Its totient is φ = 20981514240.

The previous prime is 81416289011. The next prime is 81416289037. The reversal of 81416289024 is 42098261418.

81416289024 is a `hidden beast` number, since 8 + 14 + 1 + 628 + 9 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (81416289011) and next prime (81416289037).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×81416289024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790449357 + ... + 790449459.

It is an arithmetic number, because the mean of its divisors is an integer number (351813280).

Almost surely, 2^81416289024 is an apocalyptic number.

81416289024 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 81416289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151983336960).

81416289024 is an abundant number, since it is smaller than the sum of its proper divisors (222550384896).

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

81416289024 is a wasteful number, since it uses less digits than its factorization.

81416289024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 81416289024 in words is "eighty-one billion, four hundred sixteen million, two hundred eighty-nine thousand, twenty-four".