73512135468 has 168 divisors, whose sum is σ = 194907694800. Its totient is φ = 24248336256.

The previous prime is 73512135461. The next prime is 73512135481. The reversal of 73512135468 is 86453121537.

It is a happy number.

73512135468 is a `hidden beast` number, since 7 + 3 + 51 + 2 + 135 + 468 = 666.

It is a super-2 number, since 2×73512135468² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73512135461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188977018 + ... + 188977406.

It is an arithmetic number, because the mean of its divisors is an integer number (1160164850).

Almost surely, 2^73512135468 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 73512135468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97453847400).

73512135468 is an abundant number, since it is smaller than the sum of its proper divisors (121395559332).

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

73512135468 is a wasteful number, since it uses less digits than its factorization.

73512135468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 73512135468 in words is "seventy-three billion, five hundred twelve million, one hundred thirty-five thousand, four hundred sixty-eight".