147418308881928 has 384 divisors, whose sum is σ = 471388439808000. Its totient is φ = 40745255620608.

The previous prime is 147418308881867. The next prime is 147418308881929. The reversal of 147418308881928 is 829188803814741.

147418308881928 is a `hidden beast` number, since 1 + 4 + 7 + 418 + 30 + 88 + 81 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (147418308881929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17143652973 + ... + 17143661571.

It is an arithmetic number, because the mean of its divisors is an integer number (1227574062000).

Almost surely, 2^{147418308881928} is an apocalyptic number.

147418308881928 is a gapful number since it is divisible by the number (18) 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 147418308881928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235694219904000).

147418308881928 is an abundant number, since it is smaller than the sum of its proper divisors (323970130926072).

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

147418308881928 is a wasteful number, since it uses less digits than its factorization.

147418308881928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16161 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 147418308881928 in words is "one hundred forty-seven trillion, four hundred eighteen billion, three hundred eight million, eight hundred eighty-one thousand, nine hundred twenty-eight".