69233220605952 has 1728 divisors, whose sum is σ = 235603459728000. Its totient is φ = 20190220517376.

The previous prime is 69233220605921. The next prime is 69233220606001. The reversal of 69233220605952 is 25950602233296.

69233220605952 is a `hidden beast` number, since 6 + 9 + 2 + 3 + 3 + 2 + 20 + 605 + 9 + 5 + 2 = 666.

69233220605952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400192026538 + ... + 400192026710.

It is an arithmetic number, because the mean of its divisors is an integer number (136344594750).

Almost surely, 2^{69233220605952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69233220605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117801729864000).

69233220605952 is an abundant number, since it is smaller than the sum of its proper divisors (166370239122048).

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

69233220605952 is an equidigital number, since it uses as much as digits as its factorization.

69233220605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 69233220605952 in words is "sixty-nine trillion, two hundred thirty-three billion, two hundred twenty million, six hundred five thousand, nine hundred fifty-two".