46649733975936 has 2304 divisors, whose sum is σ = 178307926917120. Its totient is φ = 11588006707200.

The previous prime is 46649733975907. The next prime is 46649733975953. The reversal of 46649733975936 is 63957933794664.

46649733975936 is a `hidden beast` number, since 4 + 6 + 6 + 497 + 3 + 3 + 97 + 5 + 9 + 36 = 666.

46649733975936 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193567360776 + ... + 193567361016.

It is an arithmetic number, because the mean of its divisors is an integer number (77390593280).

Almost surely, 2^{46649733975936} 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 46649733975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89153963458560).

46649733975936 is an abundant number, since it is smaller than the sum of its proper divisors (131658192941184).

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

46649733975936 is a wasteful number, since it uses less digits than its factorization.

46649733975936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its digits is 16665989760, while the sum is 81.

The spelling of 46649733975936 in words is "forty-six trillion, six hundred forty-nine billion, seven hundred thirty-three million, nine hundred seventy-five thousand, nine hundred thirty-six".