46434622643464 has 128 divisors (see below), whose sum is σ = 102386366496000. Its totient is φ = 19506779136000.

The previous prime is 46434622643411. The next prime is 46434622643483.

46434622643464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46434622643399 and 46434622643408.

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, 54237604 + ... + 55087084.

It is an arithmetic number, because the mean of its divisors is an integer number (799893488250).

Almost surely, 2^{46434622643464} is an apocalyptic number.

46434622643464 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 46434622643464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51193183248000).

46434622643464 is an abundant number, since it is smaller than the sum of its proper divisors (55951743852536).

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

46434622643464 is a wasteful number, since it uses less digits than its factorization.

46434622643464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850175 (or 850171 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 58.

The spelling of 46434622643464 in words is "forty-six trillion, four hundred thirty-four billion, six hundred twenty-two million, six hundred forty-three thousand, four hundred sixty-four".