147004761744 has 135 divisors (see below), whose sum is σ = 417245909353. Its totient is φ = 48316046592.

The previous prime is 147004761721. The next prime is 147004761769. The reversal of 147004761744 is 447167400741.

The square root of 147004761744 is 383412.

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

147004761744 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 0 + 476 + 174 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28228032144 + 118776729600 = 168012^2 + 344640^2 .

It is a super-2 number, since 2×147004761744² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147004761744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 409483837 + ... + 409484195.

Almost surely, 2^147004761744 is an apocalyptic number.

147004761744 is the 383412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147004761744

147004761744 is an abundant number, since it is smaller than the sum of its proper divisors (270241147609).

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

147004761744 is an frugal number, since it uses more digits than its factorization.

147004761744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 147004761744 in words is "one hundred forty-seven billion, four million, seven hundred sixty-one thousand, seven hundred forty-four".