46421508672 has 1008 divisors, whose sum is σ = 183006552960. Its totient is φ = 11474749440.

The previous prime is 46421508671. The next prime is 46421508697. The reversal of 46421508672 is 27680512464.

46421508672 is a `hidden beast` number, since 4 + 64 + 21 + 508 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46421508671) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 235642078 + ... + 235642274.

It is an arithmetic number, because the mean of its divisors is an integer number (181554120).

Almost surely, 2^46421508672 is an apocalyptic number.

46421508672 is a gapful number since it is divisible by the number (42) 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 46421508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91503276480).

46421508672 is an abundant number, since it is smaller than the sum of its proper divisors (136585044288).

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

46421508672 is a wasteful number, since it uses less digits than its factorization.

46421508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 46421508672 in words is "forty-six billion, four hundred twenty-one million, five hundred eight thousand, six hundred seventy-two".