147117457849824 has 864 divisors, whose sum is σ = 544094600081760. Its totient is φ = 37264350412800.

The previous prime is 147117457849723. The next prime is 147117457849853. The reversal of 147117457849824 is 428948754711741.

147117457849824 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 1 + 7 + 4 + 578 + 49 + 8 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23987842662 + ... + 23987848794.

It is an arithmetic number, because the mean of its divisors is an integer number (629739120465).

Almost surely, 2^{147117457849824} is an apocalyptic number.

147117457849824 is a gapful number since it is divisible by the number (14) 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 147117457849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272047300040880).

147117457849824 is an abundant number, since it is smaller than the sum of its proper divisors (396977142231936).

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

147117457849824 is a wasteful number, since it uses less digits than its factorization.

147117457849824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9966 counting only the distinct ones).

The product of its digits is 505774080, while the sum is 72.

The spelling of 147117457849824 in words is "one hundred forty-seven trillion, one hundred seventeen billion, four hundred fifty-seven million, eight hundred forty-nine thousand, eight hundred twenty-four".