53146117344 has 192 divisors, whose sum is σ = 148573232640. Its totient is φ = 16607754240.

The previous prime is 53146117337. The next prime is 53146117369. The reversal of 53146117344 is 44371164135.

It is a super-2 number, since 2×53146117344² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13241482 + ... + 13245494.

It is an arithmetic number, because the mean of its divisors is an integer number (773818920).

Almost surely, 2^53146117344 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 53146117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74286616320).

53146117344 is an abundant number, since it is smaller than the sum of its proper divisors (95427115296).

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

53146117344 is a wasteful number, since it uses less digits than its factorization.

53146117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4185 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 53146117344 in words is "fifty-three billion, one hundred forty-six million, one hundred seventeen thousand, three hundred forty-four".