464110193664 has 352 divisors, whose sum is σ = 1483938751680. Its totient is φ = 142442496000.

The previous prime is 464110193647. The next prime is 464110193689. The reversal of 464110193664 is 466391011464.

464110193664 is a `hidden beast` number, since 46 + 411 + 0 + 193 + 6 + 6 + 4 = 666.

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, 165693064 + ... + 165695864.

It is an arithmetic number, because the mean of its divisors is an integer number (4215735090).

Almost surely, 2^464110193664 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 464110193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741969375840).

464110193664 is an abundant number, since it is smaller than the sum of its proper divisors (1019828558016).

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

464110193664 is a wasteful number, since it uses less digits than its factorization.

464110193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 464110193664 in words is "four hundred sixty-four billion, one hundred ten million, one hundred ninety-three thousand, six hundred sixty-four".