46441088014464 has 512 divisors, whose sum is σ = 161992776960000. Its totient is φ = 12912703672320.

The previous prime is 46441088014441. The next prime is 46441088014547.

46441088014464 is a `hidden beast` number, since 4 + 6 + 4 + 410 + 8 + 80 + 144 + 6 + 4 = 666.

46441088014464 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 46441088014464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82251387 + ... + 82814085.

It is an arithmetic number, because the mean of its divisors is an integer number (316392142500).

Almost surely, 2^{46441088014464} is an apocalyptic number.

46441088014464 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 46441088014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80996388480000).

46441088014464 is an abundant number, since it is smaller than the sum of its proper divisors (115551688945536).

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

46441088014464 is a wasteful number, since it uses less digits than its factorization.

46441088014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562913 (or 562895 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 46441088014464 in words is "forty-six trillion, four hundred forty-one billion, eighty-eight million, fourteen thousand, four hundred sixty-four".