46446390144 has 1152 divisors, whose sum is σ = 182509367040. Its totient is φ = 11496038400.

The previous prime is 46446390083. The next prime is 46446390157. The reversal of 46446390144 is 44109364464.

46446390144 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 639 + 0 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 46446390144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1080148587 + ... + 1080148629.

It is an arithmetic number, because the mean of its divisors is an integer number (158428270).

Almost surely, 2^46446390144 is an apocalyptic number.

46446390144 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 46446390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91254683520).

46446390144 is an abundant number, since it is smaller than the sum of its proper divisors (136062976896).

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

46446390144 is a wasteful number, since it uses less digits than its factorization.

46446390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

It can be divided in two parts, 4644 and 6390144, that multiplied together give a cube (29675828736 = 3096³).

The spelling of 46446390144 in words is "forty-six billion, four hundred forty-six million, three hundred ninety thousand, one hundred forty-four".