81346012416 has 54 divisors (see below), whose sum is σ = 234540614490. Its totient is φ = 27115336704.

The previous prime is 81346012411. The next prime is 81346012421. The reversal of 81346012416 is 61421064318.

81346012416 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 601 + 2 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (81346012411) and next prime (81346012421).

It can be written as a sum of positive squares in only one way, i.e., 74804438016 + 6541574400 = 273504^2 + 80880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81346012411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17650911 + ... + 17655518.

Almost surely, 2^81346012416 is an apocalyptic number.

It is an amenable number.

81346012416 is an abundant number, since it is smaller than the sum of its proper divisors (153194602074).

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

81346012416 is a wasteful number, since it uses less digits than its factorization.

81346012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35306451 (or 35306434 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 81346012416 in words is "eighty-one billion, three hundred forty-six million, twelve thousand, four hundred sixteen".