46445468160 has 320 divisors, whose sum is σ = 182747803392. Its totient is φ = 9799335936.

The previous prime is 46445468159. The next prime is 46445468189. The reversal of 46445468160 is 6186454464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665652 + ... + 732108.

Almost surely, 2^46445468160 is an apocalyptic number.

46445468160 is a gapful number since it is divisible by the number (40) 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 46445468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91373901696).

46445468160 is an abundant number, since it is smaller than the sum of its proper divisors (136302335232).

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

46445468160 is a wasteful number, since it uses less digits than its factorization.

46445468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66503 (or 66487 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

It can be divided in two parts, 46445 and 468160, that added together give a triangular number (514605 = T₁₀₁₄).

The spelling of 46445468160 in words is "forty-six billion, four hundred forty-five million, four hundred sixty-eight thousand, one hundred sixty".