47640161143008 has 1728 divisors, whose sum is σ = 173879281255680. Its totient is φ = 12775777394688.

The previous prime is 47640161143007. The next prime is 47640161143049. The reversal of 47640161143008 is 80034116104674.

47640161143008 is a `hidden beast` number, since 47 + 6 + 401 + 61 + 143 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47640161143007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53952616935 + ... + 53952617817.

It is an arithmetic number, because the mean of its divisors is an integer number (100624584060).

Almost surely, 2^{47640161143008} is an apocalyptic number.

47640161143008 is a gapful number since it is divisible by the number (48) 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 47640161143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86939640627840).

47640161143008 is an abundant number, since it is smaller than the sum of its proper divisors (126239120112672).

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

47640161143008 is a wasteful number, since it uses less digits than its factorization.

47640161143008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47640161143008 in words is "forty-seven trillion, six hundred forty billion, one hundred sixty-one million, one hundred forty-three thousand, eight".