73446835280256 has 768 divisors, whose sum is σ = 228071439244800. Its totient is φ = 23263511040000.

The previous prime is 73446835280191. The next prime is 73446835280281. The reversal of 73446835280256 is 65208253864437.

73446835280256 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 6 + 83 + 528 + 0 + 25 + 6 = 666.

It is a super-2 number, since 2×73446835280256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73446835280193 and 73446835280202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 78051896746 + ... + 78051897686.

It is an arithmetic number, because the mean of its divisors is an integer number (296968019850).

Almost surely, 2^{73446835280256} 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 73446835280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114035719622400).

73446835280256 is an abundant number, since it is smaller than the sum of its proper divisors (154624603964544).

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

73446835280256 is a wasteful number, since it uses less digits than its factorization.

73446835280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 73446835280256 in words is "seventy-three trillion, four hundred forty-six billion, eight hundred thirty-five million, two hundred eighty thousand, two hundred fifty-six".