46462466426464 has 192 divisors, whose sum is σ = 102354387416064. Its totient is φ = 20583763200000.

The previous prime is 46462466426461. The next prime is 46462466426521.

It is a happy number.

46462466426464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46462466426396 and 46462466426405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46462466426461) 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 31 ways as a sum of consecutive naturals, for example, 1668476989 + ... + 1668504835.

It is an arithmetic number, because the mean of its divisors is an integer number (533095767792).

Almost surely, 2^{46462466426464} is an apocalyptic number.

46462466426464 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 46462466426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51177193708032).

46462466426464 is an abundant number, since it is smaller than the sum of its proper divisors (55891920989600).

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

46462466426464 is a wasteful number, since it uses less digits than its factorization.

46462466426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28701 (or 28693 counting only the distinct ones).

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

The spelling of 46462466426464 in words is "forty-six trillion, four hundred sixty-two billion, four hundred sixty-six million, four hundred twenty-six thousand, four hundred sixty-four".