432645106213152 has 144 divisors (see below), whose sum is σ = 1406607363907200. Its totient is φ = 123567984746496.

The previous prime is 432645106213123. The next prime is 432645106213231. The reversal of 432645106213152 is 251312601546234.

432645106213152 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 4 + 5 + 1 + 0 + 621 + 3 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 432645106213098 and 432645106213107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33426652 + ... + 44526747.

It is an arithmetic number, because the mean of its divisors is an integer number (9768106693800).

Almost surely, 2^{432645106213152} is an apocalyptic number.

432645106213152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

432645106213152 is an abundant number, since it is smaller than the sum of its proper divisors (973962257694048).

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

432645106213152 is a wasteful number, since it uses less digits than its factorization.

432645106213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77956175 (or 77956164 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 432645106213152 its reverse (251312601546234), we get a palindrome (683957707759386).

The spelling of 432645106213152 in words is "four hundred thirty-two trillion, six hundred forty-five billion, one hundred six million, two hundred thirteen thousand, one hundred fifty-two".