46442455424464 has 80 divisors (see below), whose sum is σ = 102442229599104. Its totient is φ = 20190039091200.

The previous prime is 46442455424371. The next prime is 46442455424507.

46442455424464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46442455424399 and 46442455424408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34611844 + ... + 35928604.

Almost surely, 2^{46442455424464} is an apocalyptic number.

46442455424464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46442455424464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51221114799552).

46442455424464 is an abundant number, since it is smaller than the sum of its proper divisors (55999774174640).

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

46442455424464 is a wasteful number, since it uses less digits than its factorization.

46442455424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325516 (or 1325510 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 58.

The spelling of 46442455424464 in words is "forty-six trillion, four hundred forty-two billion, four hundred fifty-five million, four hundred twenty-four thousand, four hundred sixty-four".