46404544540464 has 320 divisors, whose sum is σ = 150308088000000. Its totient is φ = 13583491292160.

The previous prime is 46404544540463. The next prime is 46404544540513.

46404544540464 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 4 + 54 + 4 + 540 + 46 + 4 = 666.

46404544540464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46404544540464.

It is not an unprimeable number, because it can be changed into a prime (46404544540463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23490162 + ... + 25388910.

It is an arithmetic number, because the mean of its divisors is an integer number (469712775000).

Almost surely, 2^{46404544540464} is an apocalyptic number.

46404544540464 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 46404544540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75154044000000).

46404544540464 is an abundant number, since it is smaller than the sum of its proper divisors (103903543459536).

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

46404544540464 is a wasteful number, since it uses less digits than its factorization.

46404544540464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898953 (or 1898941 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 54.

The spelling of 46404544540464 in words is "forty-six trillion, four hundred four billion, five hundred forty-four million, five hundred forty thousand, four hundred sixty-four".