75713226159456 has 216 divisors, whose sum is σ = 222509831681592. Its totient is φ = 24420237004800.

The previous prime is 75713226159371. The next prime is 75713226159481. The reversal of 75713226159456 is 65495162231757.

75713226159456 is a `hidden beast` number, since 7 + 5 + 7 + 1 + 3 + 2 + 2 + 615 + 9 + 4 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75713226159393 and 75713226159402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2683805191 + ... + 2683833401.

It is an arithmetic number, because the mean of its divisors is an integer number (1030138109637).

Almost surely, 2^{75713226159456} 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 75713226159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111254915840796).

75713226159456 is an abundant number, since it is smaller than the sum of its proper divisors (146796605522136).

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

75713226159456 is a wasteful number, since it uses less digits than its factorization.

75713226159456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37986 (or 37944 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 75713226159456 in words is "seventy-five trillion, seven hundred thirteen billion, two hundred twenty-six million, one hundred fifty-nine thousand, four hundred fifty-six".