332693406432 has 96 divisors (see below), whose sum is σ = 972800992800. Its totient is φ = 110618348544.

The previous prime is 332693406421. The next prime is 332693406467. The reversal of 332693406432 is 234604396233.

332693406432 is a `hidden beast` number, since 3 + 3 + 269 + 340 + 6 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×332693406432² (a number of 24 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, 141957 + ... + 827972.

It is an arithmetic number, because the mean of its divisors is an integer number (10133343675).

Almost surely, 2^332693406432 is an apocalyptic number.

332693406432 is a gapful number since it is divisible by the number (32) 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 332693406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486400496400).

332693406432 is an abundant number, since it is smaller than the sum of its proper divisors (640107586368).

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

332693406432 is a wasteful number, since it uses less digits than its factorization.

332693406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970345 (or 970331 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 332693406432 in words is "three hundred thirty-two billion, six hundred ninety-three million, four hundred six thousand, four hundred thirty-two".