146847407129728 has 64 divisors (see below), whose sum is σ = 300489537036600. Its totient is φ = 71430891282432.

The previous prime is 146847407129711. The next prime is 146847407129747. The reversal of 146847407129728 is 827921704748641.

It can be written as a sum of positive squares in 4 ways, for example, as 136235397248064 + 10612009881664 = 11671992^2 + 3257608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38615218 + ... + 42247246.

Almost surely, 2^{146847407129728} 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 146847407129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150244768518300).

146847407129728 is an abundant number, since it is smaller than the sum of its proper divisors (153642129906872).

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

146847407129728 is an equidigital number, since it uses as much as digits as its factorization.

146847407129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640617 (or 3640605 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 70.

The spelling of 146847407129728 in words is "one hundred forty-six trillion, eight hundred forty-seven billion, four hundred seven million, one hundred twenty-nine thousand, seven hundred twenty-eight".