46144555544164 has 48 divisors (see below), whose sum is σ = 100680298177536. Its totient is φ = 17978171853600.

The previous prime is 46144555544161. The next prime is 46144555544167.

46144555544164 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46144555544161) and next prime (46144555544167).

It is a junction number, because it is equal to n+sod(n) for n = 46144555544099 and 46144555544108.

It is not an unprimeable number, because it can be changed into a prime (46144555544161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24681559 + ... + 26485249.

It is an arithmetic number, because the mean of its divisors is an integer number (2097506212032).

Almost surely, 2^{46144555544164} is an apocalyptic number.

46144555544164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46144555544164 is an abundant number, since it is smaller than the sum of its proper divisors (54535742633372).

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

46144555544164 is a wasteful number, since it uses less digits than its factorization.

46144555544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886776 (or 1886774 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 58.

The spelling of 46144555544164 in words is "forty-six trillion, one hundred forty-four billion, five hundred fifty-five million, five hundred forty-four thousand, one hundred sixty-four".