232835088384 has 480 divisors, whose sum is σ = 737179884540. Its totient is φ = 73526870016.

The previous prime is 232835088337. The next prime is 232835088389. The reversal of 232835088384 is 483880538232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

232835088384 is a `hidden beast` number, since 23 + 2 + 83 + 508 + 8 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 232835088384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232835088389) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12254478327 + ... + 12254478345.

Almost surely, 2^232835088384 is an apocalyptic number.

232835088384 is a gapful number since it is divisible by the number (24) 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 232835088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368589942270).

232835088384 is an abundant number, since it is smaller than the sum of its proper divisors (504344796156).

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

232835088384 is an frugal number, since it uses more digits than its factorization.

232835088384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

Multiplying 232835088384 by its sum of digits (54), we get a square (12573094772736 = 3545856²).

232835088384 divided by its sum of digits (54) gives a square (4311760896 = 65664²).

The spelling of 232835088384 in words is "two hundred thirty-two billion, eight hundred thirty-five million, eighty-eight thousand, three hundred eighty-four".