147264830001 has 63 divisors (see below), whose sum is σ = 225442736337. Its totient is φ = 96152650560.

The previous prime is 147264829973. The next prime is 147264830021. The reversal of 147264830001 is 100038462741.

The square root of 147264830001 is 383751.

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

147264830001 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 648 + 3 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93498350625 + 53766479376 = 305775^2 + 231876^2 .

It is not a de Polignac number, because 147264830001 - 2¹¹ = 147264827953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147264830021) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 632037781 + ... + 632038013.

Almost surely, 2^147264830001 is an apocalyptic number.

147264830001 is the 383751-st square number.

147264830001 is the 191876-th centered octagonal number.

It is an amenable number.

147264830001 is a deficient number, since it is larger than the sum of its proper divisors (78177906336).

147264830001 is an frugal number, since it uses more digits than its factorization.

147264830001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 147264830001 by its sum of digits (36), we get a square (5301533880036 = 2302506²).

The spelling of 147264830001 in words is "one hundred forty-seven billion, two hundred sixty-four million, eight hundred thirty thousand, one".