432654524433616 has 160 divisors (see below), whose sum is σ = 891444055040000. Its totient is φ = 202849239859200.

The previous prime is 432654524433613. The next prime is 432654524433619. The reversal of 432654524433616 is 616334425456234.

It is an interprime number because it is at equal distance from previous prime (432654524433613) and next prime (432654524433619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432654524433613) 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, 15496763305 + ... + 15496791223.

It is an arithmetic number, because the mean of its divisors is an integer number (5571525344000).

Almost surely, 2^{432654524433616} 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 432654524433616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445722027520000).

432654524433616 is an abundant number, since it is smaller than the sum of its proper divisors (458789530606384).

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

432654524433616 is a wasteful number, since it uses less digits than its factorization.

432654524433616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29305 (or 29299 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 58.

The spelling of 432654524433616 in words is "four hundred thirty-two trillion, six hundred fifty-four billion, five hundred twenty-four million, four hundred thirty-three thousand, six hundred sixteen".