147018438013456 has 45 divisors (see below), whose sum is σ = 300631173023853. Its totient is φ = 69639876239040.

The previous prime is 147018438013441. The next prime is 147018438013481. The reversal of 147018438013456 is 654310834810741.

The square root of 147018438013456 is 12125116.

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

It can be written as a sum of positive squares in only one way, i.e., 47926765943056 + 99091672070400 = 6922916^2 + 9954480^2 .

It is a super-2 number, since 2×147018438013456² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 147018438013397 and 147018438013406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 921429046 + ... + 921588586.

Almost surely, 2^{147018438013456} is an apocalyptic number.

147018438013456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147018438013456 is the 12125116-th square number.

It is an amenable number.

147018438013456 is an abundant number, since it is smaller than the sum of its proper divisors (153612735010397).

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

147018438013456 is an frugal number, since it uses more digits than its factorization.

147018438013456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319128 (or 159562 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 147018438013456 in words is "one hundred forty-seven trillion, eighteen billion, four hundred thirty-eight million, thirteen thousand, four hundred fifty-six".