73468100000000 has 324 divisors, whose sum is σ = 184055718263424. Its totient is φ = 29268000000000.

The previous prime is 73468099999937. The next prime is 73468100000023. The reversal of 73468100000000 is 186437.

It is a super-2 number, since 2×73468100000000² (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 27099998645 + ... + 27100001355.

Almost surely, 2^{73468100000000} 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 73468100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92027859131712).

73468100000000 is an abundant number, since it is smaller than the sum of its proper divisors (110587618263424).

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

73468100000000 is an frugal number, since it uses more digits than its factorization.

73468100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 73468100000000 its reverse (186437), we get a palindrome (73468100186437).

The spelling of 73468100000000 in words is "seventy-three trillion, four hundred sixty-eight billion, one hundred million", and thus it is an aban number.