73048783104000 has 2304 divisors, whose sum is σ = 302651042803200. Its totient is φ = 16773808128000.

The previous prime is 73048783103981. The next prime is 73048783104013. The reversal of 73048783104000 is 40138784037.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×73048783104000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65869055446 + ... + 65869056554.

It is an arithmetic number, because the mean of its divisors is an integer number (131358959550).

Almost surely, 2^{73048783104000} 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 73048783104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151325521401600).

73048783104000 is an abundant number, since it is smaller than the sum of its proper divisors (229602259699200).

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

73048783104000 is a wasteful number, since it uses less digits than its factorization.

73048783104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73048783104000 in words is "seventy-three trillion, forty-eight billion, seven hundred eighty-three million, one hundred four thousand".