81458016 has 192 divisors, whose sum is σ = 248209920. Its totient is φ = 23224320.

The previous prime is 81458009. The next prime is 81458017. The reversal of 81458016 is 61085418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81458017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147261 + ... + 1147331.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^81458016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81458016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

81458016 is an abundant number, since it is smaller than the sum of its proper divisors (166751904).

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

81458016 is a wasteful number, since it uses less digits than its factorization.

81458016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 81458016 is about 9025.4094643955. The cubic root of 81458016 is about 433.4888614638.

It can be divided in two parts, 8145 and 8016, that added together give a palindrome (16161).

The spelling of 81458016 in words is "eighty-one million, four hundred fifty-eight thousand, sixteen".