3231435249664 has 192 divisors, whose sum is σ = 7121871993600. Its totient is φ = 1459013124096.

The previous prime is 3231435249649. The next prime is 3231435249671. The reversal of 3231435249664 is 4669425341323.

It is a happy number.

It is a super-2 number, since 2×3231435249664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262221807 + ... + 262234129.

It is an arithmetic number, because the mean of its divisors is an integer number (37093083300).

Almost surely, 2^{3231435249664} 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 3231435249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560935996800).

3231435249664 is an abundant number, since it is smaller than the sum of its proper divisors (3890436743936).

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

3231435249664 is a wasteful number, since it uses less digits than its factorization.

3231435249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12660 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 52.

The spelling of 3231435249664 in words is "three trillion, two hundred thirty-one billion, four hundred thirty-five million, two hundred forty-nine thousand, six hundred sixty-four".