464198891464 has 64 divisors (see below), whose sum is σ = 1089680947200. Its totient is φ = 180099931200.

The previous prime is 464198891461. The next prime is 464198891509.

464198891464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464198891464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464198891396 and 464198891405.

It is not an unprimeable number, because it can be changed into a prime (464198891461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429282 + ... + 1723729.

It is an arithmetic number, because the mean of its divisors is an integer number (17026264800).

Almost surely, 2^464198891464 is an apocalyptic number.

464198891464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464198891464 is an abundant number, since it is smaller than the sum of its proper divisors (625482055736).

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

464198891464 is a wasteful number, since it uses less digits than its factorization.

464198891464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153274 (or 3153270 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 64.

The spelling of 464198891464 in words is "four hundred sixty-four billion, one hundred ninety-eight million, eight hundred ninety-one thousand, four hundred sixty-four".