147648174774672 has 1280 divisors, whose sum is σ = 487437601996800. Its totient is φ = 37846434816000.

The previous prime is 147648174774643. The next prime is 147648174774697. The reversal of 147648174774672 is 276477471846741.

It is a junction number, because it is equal to n+sod(n) for n = 147648174774594 and 147648174774603.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 205352120329 + ... + 205352121047.

It is an arithmetic number, because the mean of its divisors is an integer number (380810626560).

Almost surely, 2^{147648174774672} is an apocalyptic number.

147648174774672 is a gapful number since it is divisible by the number (12) 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 147648174774672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243718800998400).

147648174774672 is an abundant number, since it is smaller than the sum of its proper divisors (339789427222128).

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

147648174774672 is a wasteful number, since it uses less digits than its factorization.

147648174774672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 2478292992, while the sum is 75.

The spelling of 147648174774672 in words is "one hundred forty-seven trillion, six hundred forty-eight billion, one hundred seventy-four million, seven hundred seventy-four thousand, six hundred seventy-two".