464286538314272 has 192 divisors, whose sum is σ = 1053725834649600. Its totient is φ = 199913077002240.

The previous prime is 464286538314229. The next prime is 464286538314299. The reversal of 464286538314272 is 272413835682464.

It is a junction number, because it is equal to n+sod(n) for n = 464286538314199 and 464286538314208.

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, 159728879 + ... + 162609617.

It is an arithmetic number, because the mean of its divisors is an integer number (5488155388800).

Almost surely, 2^{464286538314272} 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 464286538314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526862917324800).

464286538314272 is an abundant number, since it is smaller than the sum of its proper divisors (589439296335328).

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

464286538314272 is a wasteful number, since it uses less digits than its factorization.

464286538314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881319 (or 2881311 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 65.

The spelling of 464286538314272 in words is "four hundred sixty-four trillion, two hundred eighty-six billion, five hundred thirty-eight million, three hundred fourteen thousand, two hundred seventy-two".