73335485009000 has 128 divisors (see below), whose sum is σ = 173202484459680. Its totient is φ = 29061362176000.

The previous prime is 73335485008969. The next prime is 73335485009021. The reversal of 73335485009000 is 90058453337.

It can be written as a sum of positive squares in 16 ways, for example, as 7079824710436 + 66255660298564 = 2660794^2 + 8139758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249922370 + ... + 250215630.

Almost surely, 2^{73335485009000} 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 73335485009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86601242229840).

73335485009000 is an abundant number, since it is smaller than the sum of its proper divisors (99866999450680).

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

73335485009000 is a wasteful number, since it uses less digits than its factorization.

73335485009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295608 (or 295594 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 73335485009000 in words is "seventy-three trillion, three hundred thirty-five billion, four hundred eighty-five million, nine thousand".