147993320601 has 45 divisors (see below), whose sum is σ = 249476641791. Its totient is φ = 84535297056.

The previous prime is 147993320581. The next prime is 147993320621. The reversal of 147993320601 is 106023399741.

The square root of 147993320601 is 384699.

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

147993320601 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 9 + 3 + 32 + 0 + 601 = 666.

147993320601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147993320581) and next prime (147993320621).

It can be written as a sum of positive squares in only one way, i.e., 144396200025 + 3597120576 = 379995^2 + 59976^2 .

It is not a de Polignac number, because 147993320601 - 2⁷ = 147993320473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147993320621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56549445 + ... + 56552061.

Almost surely, 2^147993320601 is an apocalyptic number.

147993320601 is the 384699-th square number.

147993320601 is the 192350-th centered octagonal number.

It is an amenable number.

147993320601 is a deficient number, since it is larger than the sum of its proper divisors (101483321190).

147993320601 is an frugal number, since it uses more digits than its factorization.

147993320601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 147993320601 in words is "one hundred forty-seven billion, nine hundred ninety-three million, three hundred twenty thousand, six hundred one".