46696628160 has 1344 divisors, whose sum is σ = 214722772992. Its totient is φ = 9034924032.

The previous prime is 46696628141. The next prime is 46696628179. The reversal of 46696628160 is 6182669664.

46696628160 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 6 + 628 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46696628141) and next prime (46696628179).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 46696628097 and 46696628106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209401809 + ... + 209402031.

It is an arithmetic number, because the mean of its divisors is an integer number (159763968).

Almost surely, 2^46696628160 is an apocalyptic number.

46696628160 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 46696628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107361386496).

46696628160 is an abundant number, since it is smaller than the sum of its proper divisors (168026144832).

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

46696628160 is a wasteful number, since it uses less digits than its factorization.

46696628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 46696628160 in words is "forty-six billion, six hundred ninety-six million, six hundred twenty-eight thousand, one hundred sixty".