65034468753408 has 1344 divisors, whose sum is σ = 247521489225840. Its totient is φ = 16888725504000.

The previous prime is 65034468753391. The next prime is 65034468753413. The reversal of 65034468753408 is 80435786443056.

It is a happy number.

65034468753408 is a `hidden beast` number, since 6 + 5 + 0 + 34 + 4 + 68 + 7 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×65034468753408² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12875560483 + ... + 12875565533.

Almost surely, 2^{65034468753408} 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 65034468753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123760744612920).

65034468753408 is an abundant number, since it is smaller than the sum of its proper divisors (182487020472432).

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

65034468753408 is an frugal number, since it uses more digits than its factorization.

65034468753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 65034468753408 in words is "sixty-five trillion, thirty-four billion, four hundred sixty-eight million, seven hundred fifty-three thousand, four hundred eight".