468354453864 has 128 divisors (see below), whose sum is σ = 1377986359680. Its totient is φ = 131056640000.

The previous prime is 468354453851. The next prime is 468354453877.

468354453864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (468354453851) and next prime (468354453877).

It is a junction number, because it is equal to n+sod(n) for n = 468354453798 and 468354453807.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 746637 + ... + 1222364.

It is an arithmetic number, because the mean of its divisors is an integer number (10765518435).

Almost surely, 2^468354453864 is an apocalyptic number.

468354453864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468354453864 is an abundant number, since it is smaller than the sum of its proper divisors (909631905816).

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

468354453864 is a wasteful number, since it uses less digits than its factorization.

468354453864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969091 (or 1969087 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 468354453864 in words is "four hundred sixty-eight billion, three hundred fifty-four million, four hundred fifty-three thousand, eight hundred sixty-four".