46466244266464 has 96 divisors (see below), whose sum is σ = 100309778231040. Its totient is φ = 21012735744000.

The previous prime is 46466244266441. The next prime is 46466244266503.

It is a happy number.

46466244266464 is nontrivially palindromic in base 10.

46466244266464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46466244266464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46466244266396 and 46466244266405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53062317 + ... + 53930899.

It is an arithmetic number, because the mean of its divisors is an integer number (1044893523240).

Almost surely, 2^{46466244266464} is an apocalyptic number.

46466244266464 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 46466244266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154889115520).

46466244266464 is an abundant number, since it is smaller than the sum of its proper divisors (53843533964576).

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

46466244266464 is a wasteful number, since it uses less digits than its factorization.

46466244266464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869384 (or 869376 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 64.

The spelling of 46466244266464 in words is "forty-six trillion, four hundred sixty-six billion, two hundred forty-four million, two hundred sixty-six thousand, four hundred sixty-four".