46658378160 has 400 divisors, whose sum is σ = 173548267200. Its totient is φ = 11576328192.

The previous prime is 46658378159. The next prime is 46658378183. The reversal of 46658378160 is 6187385664.

46658378160 is a `hidden beast` number, since 4 + 66 + 58 + 378 + 160 = 666.

46658378160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46658378097 and 46658378106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9801861 + ... + 9806619.

It is an arithmetic number, because the mean of its divisors is an integer number (433870668).

Almost surely, 2^46658378160 is an apocalyptic number.

46658378160 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 46658378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86774133600).

46658378160 is an abundant number, since it is smaller than the sum of its proper divisors (126889889040).

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

46658378160 is a wasteful number, since it uses less digits than its factorization.

46658378160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4875 counting only the distinct ones).

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

The spelling of 46658378160 in words is "forty-six billion, six hundred fifty-eight million, three hundred seventy-eight thousand, one hundred sixty".