46982120947200 has 480 divisors, whose sum is σ = 172700575027200. Its totient is φ = 12510159298560.

The previous prime is 46982120947163. The next prime is 46982120947291. The reversal of 46982120947200 is 274902128964.

It is a happy number.

46982120947200 is a `hidden beast` number, since 46 + 9 + 8 + 2 + 120 + 9 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235945281 + ... + 236144319.

It is an arithmetic number, because the mean of its divisors is an integer number (359792864640).

Almost surely, 2^{46982120947200} is an apocalyptic number.

46982120947200 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 46982120947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86350287513600).

46982120947200 is an abundant number, since it is smaller than the sum of its proper divisors (125718454080000).

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

46982120947200 is a wasteful number, since it uses less digits than its factorization.

46982120947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199759 (or 199732 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 46982120947200 in words is "forty-six trillion, nine hundred eighty-two billion, one hundred twenty million, nine hundred forty-seven thousand, two hundred".