46985354035200 has 2880 divisors, whose sum is σ = 204702631526400. Its totient is φ = 10474354114560.

The previous prime is 46985354035189. The next prime is 46985354035223. The reversal of 46985354035200 is 253045358964.

It is a happy number.

46985354035200 is a `hidden beast` number, since 4 + 6 + 9 + 85 + 35 + 4 + 0 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 369963417537 + ... + 369963417663.

Almost surely, 2^{46985354035200} is an apocalyptic number.

46985354035200 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 46985354035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102351315763200).

46985354035200 is an abundant number, since it is smaller than the sum of its proper divisors (157717277491200).

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

46985354035200 is an frugal number, since it uses more digits than its factorization.

46985354035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 46985354035200 in words is "forty-six trillion, nine hundred eighty-five billion, three hundred fifty-four million, thirty-five thousand, two hundred".