65136071544456 has 256 divisors, whose sum is σ = 186922971648000. Its totient is φ = 18738097203200.

The previous prime is 65136071544433. The next prime is 65136071544529. The reversal of 65136071544456 is 65444517063156.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 65136071544396 and 65136071544405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87639895 + ... + 88379993.

It is an arithmetic number, because the mean of its divisors is an integer number (730167858000).

Almost surely, 2^{65136071544456} is an apocalyptic number.

65136071544456 is a gapful number since it is divisible by the number (66) 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 65136071544456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461485824000).

65136071544456 is an abundant number, since it is smaller than the sum of its proper divisors (121786900103544).

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

65136071544456 is a wasteful number, since it uses less digits than its factorization.

65136071544456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740380 (or 740376 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 65136071544456 in words is "sixty-five trillion, one hundred thirty-six billion, seventy-one million, five hundred forty-four thousand, four hundred fifty-six".