464454343454464 has 108 divisors (see below), whose sum is σ = 1019240956044360. Its totient is φ = 211073493452800.

The previous prime is 464454343454417. The next prime is 464454343454477.

464454343454464 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 464454343454396 and 464454343454405.

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, 154037367 + ... + 157023625.

It is an arithmetic number, because the mean of its divisors is an integer number (9437416259670).

Almost surely, 2^{464454343454464} is an apocalyptic number.

464454343454464 is a gapful number since it is divisible by the number (44) 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 464454343454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509620478022180).

464454343454464 is an abundant number, since it is smaller than the sum of its proper divisors (554786612589896).

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

464454343454464 is a wasteful number, since it uses less digits than its factorization.

464454343454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991318 (or 2991293 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 64.

The spelling of 464454343454464 in words is "four hundred sixty-four trillion, four hundred fifty-four billion, three hundred forty-three million, four hundred fifty-four thousand, four hundred sixty-four".