46141322314164 has 96 divisors (see below), whose sum is σ = 134687422550016. Its totient is φ = 11943855358080.

The previous prime is 46141322314151. The next prime is 46141322314207.

46141322314164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84945132 + ... + 85486595.

It is an arithmetic number, because the mean of its divisors is an integer number (1402993984896).

Almost surely, 2^{46141322314164} is an apocalyptic number.

46141322314164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46141322314164 is an abundant number, since it is smaller than the sum of its proper divisors (88546100235852).

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

46141322314164 is a wasteful number, since it uses less digits than its factorization.

46141322314164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170432045 (or 170432043 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 4614132 and 2314164, that added together give a palindrome (6928296).

The spelling of 46141322314164 in words is "forty-six trillion, one hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, one hundred sixty-four".