46463144136464 has 120 divisors (see below), whose sum is σ = 102608552900160. Its totient is φ = 20189431360000.

The previous prime is 46463144136449. The next prime is 46463144136467.

46463144136464 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46463144136467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51619709 + ... + 52512099.

It is an arithmetic number, because the mean of its divisors is an integer number (855071274168).

Almost surely, 2^{46463144136464} is an apocalyptic number.

46463144136464 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 46463144136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51304276450080).

46463144136464 is an abundant number, since it is smaller than the sum of its proper divisors (56145408763696).

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

46463144136464 is a wasteful number, since it uses less digits than its factorization.

46463144136464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892641 (or 892534 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 56.

The spelling of 46463144136464 in words is "forty-six trillion, four hundred sixty-three billion, one hundred forty-four million, one hundred thirty-six thousand, four hundred sixty-four".