73419810048 has 216 divisors, whose sum is σ = 236417036128. Its totient is φ = 22590461952.

The previous prime is 73419810029. The next prime is 73419810053. The reversal of 73419810048 is 84001891437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 73419809985 and 73419810012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 763311 + ... + 854097.

Almost surely, 2^73419810048 is an apocalyptic number.

73419810048 is a gapful number since it is divisible by the number (78) 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 73419810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118208518064).

73419810048 is an abundant number, since it is smaller than the sum of its proper divisors (162997226080).

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

73419810048 is an equidigital number, since it uses as much as digits as its factorization.

73419810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90831 (or 90805 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 73419810048 in words is "seventy-three billion, four hundred nineteen million, eight hundred ten thousand, forty-eight".