47444544000 has 1080 divisors, whose sum is σ = 203752861884. Its totient is φ = 10579968000.

The previous prime is 47444543999. The next prime is 47444544013. The reversal of 47444544000 is 44544474.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

47444544000 is a `hidden beast` number, since 4 + 74 + 44 + 544 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6666395904 + 40778148096 = 81648^2 + 201936^2 .

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 107 ways as a sum of consecutive naturals, for example, 1157183980 + ... + 1157184020.

Almost surely, 2^47444544000 is an apocalyptic number.

47444544000 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 47444544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101876430942).

47444544000 is an abundant number, since it is smaller than the sum of its proper divisors (156308317884).

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

47444544000 is an equidigital number, since it uses as much as digits as its factorization.

47444544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 47444544000 in words is "forty-seven billion, four hundred forty-four million, five hundred forty-four thousand".