46028500416 has 336 divisors, whose sum is σ = 146971438848. Its totient is φ = 13706035200.

The previous prime is 46028500393. The next prime is 46028500417. The reversal of 46028500416 is 61400582064.

46028500416 is a `hidden beast` number, since 4 + 602 + 8 + 5 + 0 + 0 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46028500417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16086826 + ... + 16089686.

Almost surely, 2^46028500416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46028500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73485719424).

46028500416 is an abundant number, since it is smaller than the sum of its proper divisors (100942938432).

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

46028500416 is a wasteful number, since it uses less digits than its factorization.

46028500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 46028500416 in words is "forty-six billion, twenty-eight million, five hundred thousand, four hundred sixteen".