73451348169120 has 1440 divisors, whose sum is σ = 286203623151600. Its totient is φ = 17715436978176.

The previous prime is 73451348169083. The next prime is 73451348169131. The reversal of 73451348169120 is 2196184315437.

73451348169120 is a `hidden beast` number, since 7 + 3 + 4 + 51 + 3 + 481 + 6 + 91 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 28100982673296 + 45350365495824 = 5301036^2 + 6734268^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×73451348169120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24873465564 + ... + 24873468516.

It is a 1-persistent number, because it is pandigital, but 2⋅73451348169120 = 146902696338240 is not.

Almost surely, 2^{73451348169120} 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 73451348169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143101811575800).

73451348169120 is an abundant number, since it is smaller than the sum of its proper divisors (212752274982480).

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

73451348169120 is a wasteful number, since it uses less digits than its factorization.

73451348169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73451348169120 in words is "seventy-three trillion, four hundred fifty-one billion, three hundred forty-eight million, one hundred sixty-nine thousand, one hundred twenty".