46955687328 has 288 divisors, whose sum is σ = 152059602240. Its totient is φ = 13613752320.

The previous prime is 46955687323. The next prime is 46955687353. The reversal of 46955687328 is 82378655964.

It is a happy number.

46955687328 is a `hidden beast` number, since 4 + 6 + 9 + 556 + 8 + 73 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (46955687323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10379275 + ... + 10383797.

It is an arithmetic number, because the mean of its divisors is an integer number (527984730).

Almost surely, 2^46955687328 is an apocalyptic number.

46955687328 is a gapful number since it is divisible by the number (48) 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 46955687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76029801120).

46955687328 is an abundant number, since it is smaller than the sum of its proper divisors (105103914912).

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

46955687328 is a wasteful number, since it uses less digits than its factorization.

46955687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4681 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 46955687328 in words is "forty-six billion, nine hundred fifty-five million, six hundred eighty-seven thousand, three hundred twenty-eight".