46988982200160 has 9216 divisors, whose sum is σ = 255638450995200. Its totient is φ = 7825666867200.

The previous prime is 46988982200159. The next prime is 46988982200201. The reversal of 46988982200160 is 6100228988964.

46988982200160 is a `hidden beast` number, since 469 + 8 + 8 + 9 + 8 + 2 + 2 + 0 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 594797243001 + ... + 594797243079.

It is an arithmetic number, because the mean of its divisors is an integer number (27738547200).

Almost surely, 2^{46988982200160} is an apocalyptic number.

46988982200160 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 46988982200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127819225497600).

46988982200160 is an abundant number, since it is smaller than the sum of its proper divisors (208649468795040).

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

46988982200160 is a wasteful number, since it uses less digits than its factorization.

46988982200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 46988982200160 in words is "forty-six trillion, nine hundred eighty-eight billion, nine hundred eighty-two million, two hundred thousand, one hundred sixty".