73531471104 has 216 divisors, whose sum is σ = 260935339392. Its totient is φ = 19392860160.

The previous prime is 73531471103. The next prime is 73531471141. The reversal of 73531471104 is 40117413537.

It is a happy number.

73531471104 is a `hidden beast` number, since 7 + 3 + 531 + 4 + 7 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73531471103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34309 + ... + 385019.

Almost surely, 2^73531471104 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 73531471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130467669696).

73531471104 is an abundant number, since it is smaller than the sum of its proper divisors (187403868288).

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

73531471104 is a wasteful number, since it uses less digits than its factorization.

73531471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350753 (or 350736 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 73531471104 in words is "seventy-three billion, five hundred thirty-one million, four hundred seventy-one thousand, one hundred four".