46421412464 has 80 divisors (see below), whose sum is σ = 104250470400. Its totient is φ = 19613048832.

The previous prime is 46421412461. The next prime is 46421412467.

46421412464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46421412461) and next prime (46421412467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46421412461) 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, 6358064 + ... + 6365360.

It is an arithmetic number, because the mean of its divisors is an integer number (1303130880).

Almost surely, 2^46421412464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46421412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52125235200).

46421412464 is an abundant number, since it is smaller than the sum of its proper divisors (57829057936).

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

46421412464 is a wasteful number, since it uses less digits than its factorization.

46421412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8110 (or 8104 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 46421412464 in words is "forty-six billion, four hundred twenty-one million, four hundred twelve thousand, four hundred sixty-four".