464349131022816 has 768 divisors, whose sum is σ = 1582497224985600. Its totient is φ = 131183434137600.

The previous prime is 464349131022787. The next prime is 464349131022851. The reversal of 464349131022816 is 618220131943464.

464349131022816 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 4 + 91 + 310 + 228 + 16 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1475648856 + ... + 1475963496.

It is an arithmetic number, because the mean of its divisors is an integer number (2060543261700).

Almost surely, 2^{464349131022816} 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 464349131022816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791248612492800).

464349131022816 is an abundant number, since it is smaller than the sum of its proper divisors (1118148093962784).

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

464349131022816 is a wasteful number, since it uses less digits than its factorization.

464349131022816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314880 (or 314866 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 464349131022816 in words is "four hundred sixty-four trillion, three hundred forty-nine billion, one hundred thirty-one million, twenty-two thousand, eight hundred sixteen".