147364253946 has 288 divisors, whose sum is σ = 406519298640. Its totient is φ = 38464118784.

The previous prime is 147364253929. The next prime is 147364253957. The reversal of 147364253946 is 649352463741.

147364253946 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 64 + 2 + 539 + 46 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48020148225 + 99344105721 = 219135^2 + 315189^2 .

It is a super-2 number, since 2×147364253946² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147364253892 and 147364253901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218965866 + ... + 218966538.

Almost surely, 2^147364253946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147364253946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203259649320).

147364253946 is an abundant number, since it is smaller than the sum of its proper divisors (259155044694).

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

147364253946 is a wasteful number, since it uses less digits than its factorization.

147364253946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 811 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 147364253946 in words is "one hundred forty-seven billion, three hundred sixty-four million, two hundred fifty-three thousand, nine hundred forty-six".