46581678360 has 384 divisors, whose sum is σ = 178750540800. Its totient is φ = 10297912320.

The previous prime is 46581678343. The next prime is 46581678371. The reversal of 46581678360 is 6387618564.

46581678360 is a `hidden beast` number, since 465 + 81 + 6 + 78 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46581678297 and 46581678306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16688565 + ... + 16691355.

It is an arithmetic number, because the mean of its divisors is an integer number (465496200).

Almost surely, 2^46581678360 is an apocalyptic number.

46581678360 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 46581678360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89375270400).

46581678360 is an abundant number, since it is smaller than the sum of its proper divisors (132168862440).

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

46581678360 is a wasteful number, since it uses less digits than its factorization.

46581678360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 46581678360 in words is "forty-six billion, five hundred eighty-one million, six hundred seventy-eight thousand, three hundred sixty".