53434337209344 has 2112 divisors, whose sum is σ = 210347350327296. Its totient is φ = 13147120336896.

The previous prime is 53434337209339. The next prime is 53434337209369. The reversal of 53434337209344 is 44390273343435.

53434337209344 is a `hidden beast` number, since 5 + 34 + 34 + 3 + 37 + 209 + 344 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48887773662 + ... + 48887774754.

Almost surely, 2^{53434337209344} is an apocalyptic number.

53434337209344 is a gapful number since it is divisible by the number (54) 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 53434337209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105173675163648).

53434337209344 is an abundant number, since it is smaller than the sum of its proper divisors (156913013117952).

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

53434337209344 is a wasteful number, since it uses less digits than its factorization.

53434337209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 54.

The spelling of 53434337209344 in words is "fifty-three trillion, four hundred thirty-four billion, three hundred thirty-seven million, two hundred nine thousand, three hundred forty-four".