235335631145472 has 720 divisors, whose sum is σ = 803928918881088. Its totient is φ = 65696074629120.

The previous prime is 235335631145443. The next prime is 235335631145477. The reversal of 235335631145472 is 274541136533532.

235335631145472 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 3 + 56 + 3 + 114 + 5 + 472 = 666.

It is a super-2 number, since 2×235335631145472² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (235335631145477) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4308807508 + ... + 4308862124.

Almost surely, 2^{235335631145472} is an apocalyptic number.

235335631145472 is a gapful number since it is divisible by the number (22) 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 235335631145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401964459440544).

235335631145472 is an abundant number, since it is smaller than the sum of its proper divisors (568593287735616).

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

235335631145472 is a wasteful number, since it uses less digits than its factorization.

235335631145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55181 (or 55149 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 54.

The spelling of 235335631145472 in words is "two hundred thirty-five trillion, three hundred thirty-five billion, six hundred thirty-one million, one hundred forty-five thousand, four hundred seventy-two".