464045211648 has 276 divisors, whose sum is σ = 1413312507360. Its totient is φ = 146314100736.

The previous prime is 464045211599. The next prime is 464045211677. The reversal of 464045211648 is 846112540464.

464045211648 is a `hidden beast` number, since 4 + 6 + 40 + 452 + 116 + 48 = 666.

It is a super-2 number, since 2×464045211648² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717225661 + ... + 717226307.

Almost surely, 2^464045211648 is an apocalyptic number.

464045211648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464045211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706656253680).

464045211648 is an abundant number, since it is smaller than the sum of its proper divisors (949267295712).

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

464045211648 is an frugal number, since it uses more digits than its factorization.

464045211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 464045211648 in words is "four hundred sixty-four billion, forty-five million, two hundred eleven thousand, six hundred forty-eight".