464550706706016 has 384 divisors, whose sum is σ = 1482533303279616. Its totient is φ = 124549055447040.

The previous prime is 464550706706011. The next prime is 464550706706033. The reversal of 464550706706016 is 610607607055464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464550706706011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224811216 + ... + 226868208.

It is an arithmetic number, because the mean of its divisors is an integer number (3860763810624).

Almost surely, 2^{464550706706016} 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 464550706706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741266651639808).

464550706706016 is an abundant number, since it is smaller than the sum of its proper divisors (1017982596573600).

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

464550706706016 is a wasteful number, since it uses less digits than its factorization.

464550706706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057374 (or 2057366 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 464550706706016 in words is "four hundred sixty-four trillion, five hundred fifty billion, seven hundred six million, seven hundred six thousand, sixteen".