47001344544 has 432 divisors, whose sum is σ = 176758021440. Its totient is φ = 11564467200.

The previous prime is 47001344543. The next prime is 47001344549. The reversal of 47001344544 is 44544310074.

47001344544 is a `hidden beast` number, since 4 + 70 + 0 + 1 + 3 + 44 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47001344499 and 47001344508.

It is not an unprimeable number, because it can be changed into a prime (47001344543) by changing a digit.

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, 4629714 + ... + 4639854.

Almost surely, 2^47001344544 is an apocalyptic number.

47001344544 is a gapful number since it is divisible by the number (44) 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 47001344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88379010720).

47001344544 is an abundant number, since it is smaller than the sum of its proper divisors (129756676896).

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

47001344544 is a wasteful number, since it uses less digits than its factorization.

47001344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 47001344544 in words is "forty-seven billion, one million, three hundred forty-four thousand, five hundred forty-four".