147374768319601 has 9 divisors (see below), whose sum is σ = 147488593921441. Its totient is φ = 147261030524032.

The previous prime is 147374768319587. The next prime is 147374768319607. The reversal of 147374768319601 is 106913867473741.

The square root of 147374768319601 is 12139801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127865232678001 + 19509535641600 = 11307751^2 + 4416960^2 .

It is not a de Polignac number, because 147374768319601 - 2¹⁵ = 147374768286833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147374768319607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18853107045 + ... + 18853114861.

Almost surely, 2^{147374768319601} is an apocalyptic number.

147374768319601 is the 12139801-st square number.

147374768319601 is the 6069901-st centered octagonal number.

It is an amenable number.

147374768319601 is a deficient number, since it is larger than the sum of its proper divisors (113825601840).

147374768319601 is an frugal number, since it uses more digits than its factorization.

147374768319601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18740 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 147374768319601 in words is "one hundred forty-seven trillion, three hundred seventy-four billion, seven hundred sixty-eight million, three hundred nineteen thousand, six hundred one".