46542462624 has 504 divisors, whose sum is σ = 168302413440. Its totient is φ = 12592081152.

The previous prime is 46542462619. The next prime is 46542462677. The reversal of 46542462624 is 42626424564.

46542462624 is a `hidden beast` number, since 4 + 6 + 542 + 46 + 2 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 46542462624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21717297 + ... + 21719439.

It is an arithmetic number, because the mean of its divisors is an integer number (333933360).

Almost surely, 2^46542462624 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 46542462624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84151206720).

46542462624 is an abundant number, since it is smaller than the sum of its proper divisors (121759950816).

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

46542462624 is a wasteful number, since it uses less digits than its factorization.

46542462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2174 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 46542462624 in words is "forty-six billion, five hundred forty-two million, four hundred sixty-two thousand, six hundred twenty-four".