46983979340160 has 128 divisors (see below), whose sum is σ = 149805619292160. Its totient is φ = 12525364623360.

The previous prime is 46983979340093. The next prime is 46983979340191. The reversal of 46983979340160 is 6104397938964.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902519 + ... + 10118921.

It is an arithmetic number, because the mean of its divisors is an integer number (1170356400720).

Almost surely, 2^{46983979340160} is an apocalyptic number.

46983979340160 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 46983979340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74902809646080).

46983979340160 is an abundant number, since it is smaller than the sum of its proper divisors (102821639952000).

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

46983979340160 is a wasteful number, since it uses less digits than its factorization.

46983979340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219816 (or 7219804 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 69.

The spelling of 46983979340160 in words is "forty-six trillion, nine hundred eighty-three billion, nine hundred seventy-nine million, three hundred forty thousand, one hundred sixty".