46636498944 has 768 divisors, whose sum is σ = 171754128000. Its totient is φ = 11890851840.

The previous prime is 46636498927. The next prime is 46636498967. The reversal of 46636498944 is 44989463664.

46636498944 is a `hidden beast` number, since 46 + 63 + 6 + 498 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137475564 + ... + 1137475604.

Almost surely, 2^46636498944 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 46636498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85877064000).

46636498944 is an abundant number, since it is smaller than the sum of its proper divisors (125117629056).

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

46636498944 is a wasteful number, since it uses less digits than its factorization.

46636498944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 46636498944 in words is "forty-six billion, six hundred thirty-six million, four hundred ninety-eight thousand, nine hundred forty-four".