47814861600 has 576 divisors, whose sum is σ = 192261444480. Its totient is φ = 11369779200.

The previous prime is 47814861587. The next prime is 47814861613. The reversal of 47814861600 is 616841874.

47814861600 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 486 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47814861587) and next prime (47814861613).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12590902 + ... + 12594698.

It is an arithmetic number, because the mean of its divisors is an integer number (333787230).

Almost surely, 2^47814861600 is an apocalyptic number.

47814861600 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 47814861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96130722240).

47814861600 is an abundant number, since it is smaller than the sum of its proper divisors (144446582880).

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

47814861600 is a wasteful number, since it uses less digits than its factorization.

47814861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 47814861600 in words is "forty-seven billion, eight hundred fourteen million, eight hundred sixty-one thousand, six hundred".