464655332109408 has 576 divisors, whose sum is σ = 1419995548984320. Its totient is φ = 132569491000320.

The previous prime is 464655332109403. The next prime is 464655332109457. The reversal of 464655332109408 is 804901233556464.

It is a happy number.

It is a super-2 number, since 2×464655332109408² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464655332109403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23511366535 + ... + 23511386297.

It is an arithmetic number, because the mean of its divisors is an integer number (2465270050320).

Almost surely, 2^{464655332109408} is an apocalyptic number.

464655332109408 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 464655332109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709997774492160).

464655332109408 is an abundant number, since it is smaller than the sum of its proper divisors (955340216874912).

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

464655332109408 is a wasteful number, since it uses less digits than its factorization.

464655332109408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20471 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 464655332109408 in words is "four hundred sixty-four trillion, six hundred fifty-five billion, three hundred thirty-two million, one hundred nine thousand, four hundred eight".