235464973937424 has 405 divisors, whose sum is σ = 842636109830151. Its totient is φ = 61156050721920.

The previous prime is 235464973937197. The next prime is 235464973937429. The reversal of 235464973937424 is 424739379464532.

The square root of 235464973937424 is 15344868.

It is a perfect power (a square), and thus also a powerful number.

235464973937424 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 6 + 49 + 73 + 93 + 7 + 424 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (235464973937429) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14178649729 + ... + 14178666335.

Almost surely, 2^{235464973937424} is an apocalyptic number.

235464973937424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

235464973937424 is the 15344868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235464973937424

235464973937424 is an abundant number, since it is smaller than the sum of its proper divisors (607171135892727).

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

235464973937424 is an equidigital number, since it uses as much as digits as its factorization.

235464973937424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33264 (or 16630 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 72.

The spelling of 235464973937424 in words is "two hundred thirty-five trillion, four hundred sixty-four billion, nine hundred seventy-three million, nine hundred thirty-seven thousand, four hundred twenty-four".