73182201456 has 320 divisors, whose sum is σ = 242480480256. Its totient is φ = 18499968000.

The previous prime is 73182201451. The next prime is 73182201479. The reversal of 73182201456 is 65410228137.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73182201451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14486131 + ... + 14491181.

Almost surely, 2^73182201456 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 73182201456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121240240128).

73182201456 is an abundant number, since it is smaller than the sum of its proper divisors (169298278800).

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

73182201456 is a wasteful number, since it uses less digits than its factorization.

73182201456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 73182201456 in words is "seventy-three billion, one hundred eighty-two million, two hundred one thousand, four hundred fifty-six".