46413045504 has 216 divisors, whose sum is σ = 154457083872. Its totient is φ = 13129113600.

The previous prime is 46413045487. The next prime is 46413045611. The reversal of 46413045504 is 40554031464.

46413045504 is a `hidden beast` number, since 4 + 641 + 3 + 0 + 4 + 5 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×46413045504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614682 + ... + 1643174.

It is an arithmetic number, because the mean of its divisors is an integer number (715079092).

Almost surely, 2^46413045504 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 46413045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77228541936).

46413045504 is an abundant number, since it is smaller than the sum of its proper divisors (108044038368).

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

46413045504 is a wasteful number, since it uses less digits than its factorization.

46413045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28623 (or 28606 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 46413045504 its reverse (40554031464), we get a palindrome (86967076968).

The spelling of 46413045504 in words is "forty-six billion, four hundred thirteen million, forty-five thousand, five hundred four".