46462426464 has 48 divisors (see below), whose sum is σ = 122083582320. Its totient is φ = 15472273920.

The previous prime is 46462426459. The next prime is 46462426469.

46462426464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46462426459) and next prime (46462426469).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46462426469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138999 + ... + 335030.

It is an arithmetic number, because the mean of its divisors is an integer number (2543407965).

Almost surely, 2^46462426464 is an apocalyptic number.

It is an amenable number.

46462426464 is an abundant number, since it is smaller than the sum of its proper divisors (75621155856).

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

46462426464 is a wasteful number, since it uses less digits than its factorization.

46462426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475063 (or 475055 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 46462426464 in words is "forty-six billion, four hundred sixty-two million, four hundred twenty-six thousand, four hundred sixty-four".