46016929728 has 336 divisors, whose sum is σ = 169755555840. Its totient is φ = 11566540800.

The previous prime is 46016929687. The next prime is 46016929753. The reversal of 46016929728 is 82792961064.

46016929728 is a `hidden beast` number, since 4 + 601 + 6 + 9 + 2 + 9 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358178 + ... + 1391646.

Almost surely, 2^46016929728 is an apocalyptic number.

46016929728 is a gapful number since it is divisible by the number (48) 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 46016929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84877777920).

46016929728 is an abundant number, since it is smaller than the sum of its proper divisors (123738626112).

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

46016929728 is a wasteful number, since it uses less digits than its factorization.

46016929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33536 (or 33523 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 46016929728 in words is "forty-six billion, sixteen million, nine hundred twenty-nine thousand, seven hundred twenty-eight".