147382566912 has 768 divisors, whose sum is σ = 523441152000. Its totient is φ = 39883898880.

The previous prime is 147382566907. The next prime is 147382566917. The reversal of 147382566912 is 219665283741.

It is a happy number.

147382566912 is a `hidden beast` number, since 1 + 4 + 73 + 8 + 2 + 566 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (147382566907) and next prime (147382566917).

It is a tau number, because it is divible by the number of its divisors (768).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147382566917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3135799273 + ... + 3135799319.

It is an arithmetic number, because the mean of its divisors is an integer number (681564000).

Almost surely, 2^147382566912 is an apocalyptic number.

147382566912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147382566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261720576000).

147382566912 is an abundant number, since it is smaller than the sum of its proper divisors (376058585088).

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

147382566912 is an frugal number, since it uses more digits than its factorization.

147382566912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 90 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 147382566912 in words is "one hundred forty-seven billion, three hundred eighty-two million, five hundred sixty-six thousand, nine hundred twelve".