64465832116224 has 576 divisors, whose sum is σ = 238142277434880. Its totient is φ = 16744301199360.

The previous prime is 64465832116199. The next prime is 64465832116241. The reversal of 64465832116224 is 42261123856446.

64465832116224 is a `hidden beast` number, since 6 + 4 + 4 + 6 + 5 + 8 + 3 + 2 + 1 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272380402 + ... + 272616974.

It is an arithmetic number, because the mean of its divisors is an integer number (413441453880).

Almost surely, 2^{64465832116224} is an apocalyptic number.

64465832116224 is a gapful number since it is divisible by the number (64) 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 64465832116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119071138717440).

64465832116224 is an abundant number, since it is smaller than the sum of its proper divisors (173676445318656).

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

64465832116224 is an equidigital number, since it uses as much as digits as its factorization.

64465832116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236634 (or 236596 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 64465832116224 in words is "sixty-four trillion, four hundred sixty-five billion, eight hundred thirty-two million, one hundred sixteen thousand, two hundred twenty-four".