147406488802032 has 160 divisors (see below), whose sum is σ = 393872390553600. Its totient is φ = 47455192800000.

The previous prime is 147406488801989. The next prime is 147406488802037. The reversal of 147406488802032 is 230208884604741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147406488802037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688480719 + ... + 1688568017.

It is an arithmetic number, because the mean of its divisors is an integer number (2461702440960).

Almost surely, 2^{147406488802032} is an apocalyptic number.

147406488802032 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 147406488802032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196936195276800).

147406488802032 is an abundant number, since it is smaller than the sum of its proper divisors (246465901751568).

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

147406488802032 is a wasteful number, since it uses less digits than its factorization.

147406488802032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89603 (or 89597 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 147406488802032 in words is "one hundred forty-seven trillion, four hundred six billion, four hundred eighty-eight million, eight hundred two thousand, thirty-two".