46635000984 has 768 divisors, whose sum is σ = 170299584000. Its totient is φ = 11287019520.

The previous prime is 46635000977. The next prime is 46635001013. The reversal of 46635000984 is 48900053664.

46635000984 is a `hidden beast` number, since 4 + 6 + 63 + 500 + 0 + 9 + 84 = 666.

46635000984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123047307 + ... + 123047685.

It is an arithmetic number, because the mean of its divisors is an integer number (221744250).

Almost surely, 2^46635000984 is an apocalyptic number.

46635000984 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 46635000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149792000).

46635000984 is an abundant number, since it is smaller than the sum of its proper divisors (123664583016).

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

46635000984 is a wasteful number, since it uses less digits than its factorization.

46635000984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 46635000984 in words is "forty-six billion, six hundred thirty-five million, nine hundred eighty-four", and thus it is an aban number.