46352416320 has 448 divisors, whose sum is σ = 190707264000. Its totient is φ = 10594160640.

The previous prime is 46352416261. The next prime is 46352416343. The reversal of 46352416320 is 2361425364.

46352416320 is a `hidden beast` number, since 4 + 635 + 2 + 4 + 16 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2955700 + ... + 2971340.

Almost surely, 2^46352416320 is an apocalyptic number.

46352416320 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 46352416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95353632000).

46352416320 is an abundant number, since it is smaller than the sum of its proper divisors (144354847680).

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

46352416320 is a wasteful number, since it uses less digits than its factorization.

46352416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46352416320 in words is "forty-six billion, three hundred fifty-two million, four hundred sixteen thousand, three hundred twenty".