46151368704 has 576 divisors, whose sum is σ = 165087175680. Its totient is φ = 12612796416.

The previous prime is 46151368687. The next prime is 46151368717. The reversal of 46151368704 is 40786315164.

46151368704 is a `hidden beast` number, since 4 + 6 + 1 + 513 + 68 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 46151368704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006581237 + ... + 2006581259.

It is an arithmetic number, because the mean of its divisors is an integer number (286609680).

Almost surely, 2^46151368704 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 46151368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543587840).

46151368704 is an abundant number, since it is smaller than the sum of its proper divisors (118935806976).

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

46151368704 is an frugal number, since it uses more digits than its factorization.

46151368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46151368704 in words is "forty-six billion, one hundred fifty-one million, three hundred sixty-eight thousand, seven hundred four".