46738503504 has 360 divisors, whose sum is σ = 171468775296. Its totient is φ = 11611353600.

The previous prime is 46738503499. The next prime is 46738503517. The reversal of 46738503504 is 40530583764.

46738503504 is a `hidden beast` number, since 4 + 67 + 3 + 85 + 0 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46738503504.

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 71 ways as a sum of consecutive naturals, for example, 2796934 + ... + 2813594.

Almost surely, 2^46738503504 is an apocalyptic number.

46738503504 is a gapful number since it is divisible by the number (44) 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 46738503504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85734387648).

46738503504 is an abundant number, since it is smaller than the sum of its proper divisors (124730271792).

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

46738503504 is a wasteful number, since it uses less digits than its factorization.

46738503504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 46738503504 in words is "forty-six billion, seven hundred thirty-eight million, five hundred three thousand, five hundred four".