147059314006944 has 96 divisors (see below), whose sum is σ = 391976414464320. Its totient is φ = 48265447329792.

The previous prime is 147059314006793. The next prime is 147059314006949. The reversal of 147059314006944 is 449600413950741.

147059314006944 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (147059314006949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8324142 + ... + 19063314.

It is an arithmetic number, because the mean of its divisors is an integer number (4083087650670).

Almost surely, 2^{147059314006944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147059314006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195988207232160).

147059314006944 is an abundant number, since it is smaller than the sum of its proper divisors (244917100457376).

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

147059314006944 is a wasteful number, since it uses less digits than its factorization.

147059314006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741382 (or 10741374 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 147059314006944 in words is "one hundred forty-seven trillion, fifty-nine billion, three hundred fourteen million, six thousand, nine hundred forty-four".