147408004224 has 320 divisors, whose sum is σ = 500226443640. Its totient is φ = 42687627264.

The previous prime is 147408004223. The next prime is 147408004243. The reversal of 147408004224 is 422400804741.

It can be written as a sum of positive squares in 4 ways, for example, as 145343937600 + 2064066624 = 381240^2 + 45432^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147408004223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2259162 + ... + 2323494.

Almost surely, 2^147408004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147408004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250113221820).

147408004224 is an abundant number, since it is smaller than the sum of its proper divisors (352818439416).

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

147408004224 is a wasteful number, since it uses less digits than its factorization.

147408004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64389 (or 64368 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 147408004224 its reverse (422400804741), we get a palindrome (569808808965).

The spelling of 147408004224 in words is "one hundred forty-seven billion, four hundred eight million, four thousand, two hundred twenty-four".