81074428416 has 160 divisors (see below), whose sum is σ = 246473599680. Its totient is φ = 26294243328.

The previous prime is 81074428411. The next prime is 81074428417. The reversal of 81074428416 is 61482447018.

It is a super-2 number, since 2×81074428416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81074428411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432235 + ... + 590741.

It is an arithmetic number, because the mean of its divisors is an integer number (1540459998).

Almost surely, 2^81074428416 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 81074428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123236799840).

81074428416 is an abundant number, since it is smaller than the sum of its proper divisors (165399171264).

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

81074428416 is a wasteful number, since it uses less digits than its factorization.

81074428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158571 (or 158549 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 810744 and 28416, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 81074428416 in words is "eighty-one billion, seventy-four million, four hundred twenty-eight thousand, four hundred sixteen".