147311651344 has 225 divisors, whose sum is σ = 345628744695. Its totient is φ = 60795820800.

The previous prime is 147311651341. The next prime is 147311651353. The reversal of 147311651344 is 443156113741.

The square root of 147311651344 is 383812.

It is a perfect power (a square), and thus also a powerful number.

147311651344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103593859600 + 43717791744 = 321860^2 + 209088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 147311651297 and 147311651306.

It is not an unprimeable number, because it can be changed into a prime (147311651341) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2414945074 + ... + 2414945134.

Almost surely, 2^147311651344 is an apocalyptic number.

147311651344 is the 383812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147311651344

147311651344 is an abundant number, since it is smaller than the sum of its proper divisors (198317093351).

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

147311651344 is an frugal number, since it uses more digits than its factorization.

147311651344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 87 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The spelling of 147311651344 in words is "one hundred forty-seven billion, three hundred eleven million, six hundred fifty-one thousand, three hundred forty-four".