53342396352 has 504 divisors, whose sum is σ = 185376129120. Its totient is φ = 14362951680.

The previous prime is 53342396297. The next prime is 53342396389. The reversal of 53342396352 is 25369324335.

53342396352 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 2 + 3 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×53342396352² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1749600) is a multiple of the sum of its prime divisors (405).

It is a junction number, because it is equal to n+sod(n) for n = 53342396298 and 53342396307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189830452 + ... + 189830732.

It is an arithmetic number, because the mean of its divisors is an integer number (367809780).

Almost surely, 2^53342396352 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 53342396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92688064560).

53342396352 is an abundant number, since it is smaller than the sum of its proper divisors (132033732768).

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

53342396352 is a wasteful number, since it uses less digits than its factorization.

53342396352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 405 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 45.

The spelling of 53342396352 in words is "fifty-three billion, three hundred forty-two million, three hundred ninety-six thousand, three hundred fifty-two".