73466497152 has 448 divisors, whose sum is σ = 240508747800. Its totient is φ = 22239608832.

The previous prime is 73466497151. The next prime is 73466497199. The reversal of 73466497152 is 25179466437.

73466497152 is a `hidden beast` number, since 7 + 346 + 64 + 97 + 152 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62672118336 + 10794378816 = 250344^2 + 103896^2 .

It is a super-2 number, since 2×73466497152² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (73466497151) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46002018 + ... + 46003614.

Almost surely, 2^73466497152 is an apocalyptic number.

73466497152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73466497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120254373900).

73466497152 is an abundant number, since it is smaller than the sum of its proper divisors (167042250648).

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

73466497152 is a wasteful number, since it uses less digits than its factorization.

73466497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1648 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 73466497152 in words is "seventy-three billion, four hundred sixty-six million, four hundred ninety-seven thousand, one hundred fifty-two".