81346496616 has 720 divisors, whose sum is σ = 301168264320. Its totient is φ = 20417443200.

The previous prime is 81346496591. The next prime is 81346496641. The reversal of 81346496616 is 61669464318.

81346496616 is a `hidden beast` number, since 8 + 13 + 4 + 6 + 4 + 9 + 6 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (81346496591) and next prime (81346496641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4478976) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 119101411 + ... + 119102093.

It is an arithmetic number, because the mean of its divisors is an integer number (418289256).

Almost surely, 2^81346496616 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 81346496616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150584132160).

81346496616 is an abundant number, since it is smaller than the sum of its proper divisors (219821767704).

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

81346496616 is a wasteful number, since it uses less digits than its factorization.

81346496616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 81346496616 in words is "eighty-one billion, three hundred forty-six million, four hundred ninety-six thousand, six hundred sixteen".