81417388032 has 360 divisors, whose sum is σ = 250856287920. Its totient is φ = 26082017280.

The previous prime is 81417388021. The next prime is 81417388043. The reversal of 81417388032 is 23088371418.

It is an interprime number because it is at equal distance from previous prime (81417388021) and next prime (81417388043).

It is a super-3 number, since 3×81417388032³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1215184863 + ... + 1215184929.

It is an arithmetic number, because the mean of its divisors is an integer number (696823022).

Almost surely, 2^81417388032 is an apocalyptic number.

81417388032 is a gapful number since it is divisible by the number (82) 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 81417388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125428143960).

81417388032 is an abundant number, since it is smaller than the sum of its proper divisors (169438899888).

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

81417388032 is an frugal number, since it uses more digits than its factorization.

81417388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 81417388032 in words is "eighty-one billion, four hundred seventeen million, three hundred eighty-eight thousand, thirty-two".