73228312456 has 128 divisors (see below), whose sum is σ = 157239936000. Its totient is φ = 31905080064.

The previous prime is 73228312411. The next prime is 73228312489. The reversal of 73228312456 is 65421382237.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31934446 + ... + 31936738.

It is an arithmetic number, because the mean of its divisors is an integer number (1228437000).

Almost surely, 2^73228312456 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 73228312456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78619968000).

73228312456 is an abundant number, since it is smaller than the sum of its proper divisors (84011623544).

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

73228312456 is a wasteful number, since it uses less digits than its factorization.

73228312456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2410 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The spelling of 73228312456 in words is "seventy-three billion, two hundred twenty-eight million, three hundred twelve thousand, four hundred fifty-six".