81748699200 has 1008 divisors, whose sum is σ = 351961500800. Its totient is φ = 18654935040.

The previous prime is 81748699183. The next prime is 81748699217. The reversal of 81748699200 is 299684718.

It is an interprime number because it is at equal distance from previous prime (81748699183) and next prime (81748699217).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133358094 + ... + 133358706.

Almost surely, 2^81748699200 is an apocalyptic number.

81748699200 is a gapful number since it is divisible by the number (80) 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 81748699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175980750400).

81748699200 is an abundant number, since it is smaller than the sum of its proper divisors (270212801600).

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

81748699200 is an equidigital number, since it uses as much as digits as its factorization.

81748699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 81748699200 in words is "eighty-one billion, seven hundred forty-eight million, six hundred ninety-nine thousand, two hundred".