4532605120032 has 48 divisors (see below), whose sum is σ = 12979732846752. Its totient is φ = 1373516702720.

The previous prime is 4532605120019. The next prime is 4532605120073. The reversal of 4532605120032 is 2300215062354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4532605120032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4532605119975 and 4532605120002.

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, 2146118793 + ... + 2146120904.

It is an arithmetic number, because the mean of its divisors is an integer number (270411100974).

Almost surely, 2^{4532605120032} is an apocalyptic number.

It is an amenable number.

4532605120032 is an abundant number, since it is smaller than the sum of its proper divisors (8447127726720).

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

4532605120032 is a wasteful number, since it uses less digits than its factorization.

4532605120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292239721 (or 4292239713 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 4532605120032 in words is "four trillion, five hundred thirty-two billion, six hundred five million, one hundred twenty thousand, thirty-two".