46874338560 has 864 divisors, whose sum is σ = 195910041600. Its totient is φ = 10116513792.

The previous prime is 46874338549. The next prime is 46874338579. The reversal of 46874338560 is 6583347864.

46874338560 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 43 + 38 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46874338497 and 46874338506.

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 95 ways as a sum of consecutive naturals, for example, 235549341 + ... + 235549539.

Almost surely, 2^46874338560 is an apocalyptic number.

46874338560 is a gapful number since it is divisible by the number (40) 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 46874338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97955020800).

46874338560 is an abundant number, since it is smaller than the sum of its proper divisors (149035703040).

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

46874338560 is a wasteful number, since it uses less digits than its factorization.

46874338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 46874338560 in words is "forty-six billion, eight hundred seventy-four million, three hundred thirty-eight thousand, five hundred sixty".