46434066043464 has 128 divisors (see below), whose sum is σ = 140758562332800. Its totient is φ = 14066001976320.

The previous prime is 46434066043439. The next prime is 46434066043493.

46434066043464 is a `hidden beast` number, since 4 + 6 + 43 + 40 + 6 + 60 + 43 + 464 = 666.

46434066043464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46434066043464² (a number of 28 digits) contains 22 as substring.

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 46434066043464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3368044 + ... + 10208420.

It is an arithmetic number, because the mean of its divisors is an integer number (1099676268225).

Almost surely, 2^{46434066043464} is an apocalyptic number.

46434066043464 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 46434066043464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70379281166400).

46434066043464 is an abundant number, since it is smaller than the sum of its proper divisors (94324496289336).

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

46434066043464 is a wasteful number, since it uses less digits than its factorization.

46434066043464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843260 (or 6843250 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 46434066043464 in words is "forty-six trillion, four hundred thirty-four billion, sixty-six million, forty-three thousand, four hundred sixty-four".