464335686603712 has 448 divisors, whose sum is σ = 1218980465971200. Its totient is φ = 170208218234880.

The previous prime is 464335686603673. The next prime is 464335686603721. The reversal of 464335686603712 is 217306686533464.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538010918 + ... + 1538312794.

Almost surely, 2^{464335686603712} 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 464335686603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609490232985600).

464335686603712 is an abundant number, since it is smaller than the sum of its proper divisors (754644779367488).

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

464335686603712 is a wasteful number, since it uses less digits than its factorization.

464335686603712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302212 (or 302202 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 64.

The spelling of 464335686603712 in words is "four hundred sixty-four trillion, three hundred thirty-five billion, six hundred eighty-six million, six hundred three thousand, seven hundred twelve".