231609829248 has 640 divisors, whose sum is σ = 831752064000. Its totient is φ = 62545747968.

The previous prime is 231609829211. The next prime is 231609829301. The reversal of 231609829248 is 842928906132.

231609829248 is a `hidden beast` number, since 2 + 3 + 1 + 609 + 8 + 2 + 9 + 24 + 8 = 666.

It is a super-2 number, since 2×231609829248² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 231609829194 and 231609829203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148562293 + ... + 148563851.

It is an arithmetic number, because the mean of its divisors is an integer number (1299612600).

Almost surely, 2^231609829248 is an apocalyptic number.

231609829248 is a gapful number since it is divisible by the number (28) 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 231609829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415876032000).

231609829248 is an abundant number, since it is smaller than the sum of its proper divisors (600142234752).

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

231609829248 is a wasteful number, since it uses less digits than its factorization.

231609829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 231609829248 in words is "two hundred thirty-one billion, six hundred nine million, eight hundred twenty-nine thousand, two hundred forty-eight".