463954404459364 has 144 divisors (see below), whose sum is σ = 1051031454078592. Its totient is φ = 174485216226816.

The previous prime is 463954404459317. The next prime is 463954404459373.

463954404459364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 463954404459293 and 463954404459302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23995672 + ... + 38777584.

Almost surely, 2^{463954404459364} 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 463954404459364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525515727039296).

463954404459364 is an abundant number, since it is smaller than the sum of its proper divisors (587077049619228).

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

463954404459364 is a wasteful number, since it uses less digits than its factorization.

463954404459364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782146 (or 14782121 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 70.

The spelling of 463954404459364 in words is "four hundred sixty-three trillion, nine hundred fifty-four billion, four hundred four million, four hundred fifty-nine thousand, three hundred sixty-four".