47455192800000 has 648 divisors, whose sum is σ = 172156857818400. Its totient is φ = 12570624000000.

The previous prime is 47455192799983. The next prime is 47455192800049. The reversal of 47455192800000 is 829155474.

47455192800000 is a `hidden beast` number, since 4 + 7 + 4 + 551 + 92 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1087178176 + ... + 1087221824.

It is an arithmetic number, because the mean of its divisors is an integer number (265674163300).

Almost surely, 2^{47455192800000} is an apocalyptic number.

47455192800000 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 47455192800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86078428909200).

47455192800000 is an abundant number, since it is smaller than the sum of its proper divisors (124701665018400).

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

47455192800000 is an equidigital number, since it uses as much as digits as its factorization.

47455192800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43847 (or 43810 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 47455192800000 in words is "forty-seven trillion, four hundred fifty-five billion, one hundred ninety-two million, eight hundred thousand".