47154432508320 has 768 divisors, whose sum is σ = 163438829568000. Its totient is φ = 11381997699072.

The previous prime is 47154432508297. The next prime is 47154432508369. The reversal of 47154432508320 is 2380523445174.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47154432508320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14879907696 + ... + 14879910864.

It is an arithmetic number, because the mean of its divisors is an integer number (212810976000).

Almost surely, 2^{47154432508320} is an apocalyptic number.

47154432508320 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 47154432508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81719414784000).

47154432508320 is an abundant number, since it is smaller than the sum of its proper divisors (116284397059680).

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

47154432508320 is a wasteful number, since it uses less digits than its factorization.

47154432508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 47154432508320 in words is "forty-seven trillion, one hundred fifty-four billion, four hundred thirty-two million, five hundred eight thousand, three hundred twenty".