46414300341464 has 32 divisors (see below), whose sum is σ = 94942965402000. Its totient is φ = 21096381736320.

The previous prime is 46414300341457. The next prime is 46414300341511.

It is a happy number.

46414300341464 is nontrivially palindromic in base 10.

46414300341464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 11025287 + ... + 14641910.

Almost surely, 2^{46414300341464} is an apocalyptic number.

46414300341464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46414300341464 is an abundant number, since it is smaller than the sum of its proper divisors (48528665060536).

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

46414300341464 is a wasteful number, since it uses less digits than its factorization.

46414300341464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25687763 (or 25687759 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

It can be divided in two parts, 46414300 and 341464, that added together give a palindrome (46755764).

The spelling of 46414300341464 in words is "forty-six trillion, four hundred fourteen billion, three hundred million, three hundred forty-one thousand, four hundred sixty-four".