46838131200 has 960 divisors, whose sum is σ = 207022464000. Its totient is φ = 10132439040.

The previous prime is 46838131199. The next prime is 46838131211. The reversal of 46838131200 is 213183864.

46838131200 is a `hidden beast` number, since 46 + 8 + 381 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964291 + ... + 45965309.

It is an arithmetic number, because the mean of its divisors is an integer number (215648400).

Almost surely, 2^46838131200 is an apocalyptic number.

46838131200 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 46838131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103511232000).

46838131200 is an abundant number, since it is smaller than the sum of its proper divisors (160184332800).

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

46838131200 is a wasteful number, since it uses less digits than its factorization.

46838131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46838131200 in words is "forty-six billion, eight hundred thirty-eight million, one hundred thirty-one thousand, two hundred".