46466299266464 has 192 divisors, whose sum is σ = 116733801203712. Its totient is φ = 17678531404800.

The previous prime is 46466299266461. The next prime is 46466299266521.

46466299266464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46466299266391 and 46466299266400.

It is not an unprimeable number, because it can be changed into a prime (46466299266461) 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 31 ways as a sum of consecutive naturals, for example, 465185294 + ... + 465285170.

It is an arithmetic number, because the mean of its divisors is an integer number (607988547936).

Almost surely, 2^{46466299266464} is an apocalyptic number.

46466299266464 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 46466299266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58366900601856).

46466299266464 is an abundant number, since it is smaller than the sum of its proper divisors (70267501937248).

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

46466299266464 is a wasteful number, since it uses less digits than its factorization.

46466299266464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104339 (or 104331 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 74.

The spelling of 46466299266464 in words is "forty-six trillion, four hundred sixty-six billion, two hundred ninety-nine million, two hundred sixty-six thousand, four hundred sixty-four".