5073685167456 has 72 divisors (see below), whose sum is σ = 14437161562824. Its totient is φ = 1690188756480.

The previous prime is 5073685167451. The next prime is 5073685167461. The reversal of 5073685167456 is 6547615863705.

5073685167456 is a `hidden beast` number, since 5 + 0 + 7 + 3 + 68 + 516 + 7 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5073685167451) and next prime (5073685167461).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5073685167393 and 5073685167402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5073685167451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4945365 + ... + 5882516.

It is an arithmetic number, because the mean of its divisors is an integer number (200516132817).

Almost surely, 2^{5073685167456} is an apocalyptic number.

It is an amenable number.

5073685167456 is an abundant number, since it is smaller than the sum of its proper divisors (9363476395368).

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

5073685167456 is a wasteful number, since it uses less digits than its factorization.

5073685167456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829524 (or 10829513 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 5073685167456 in words is "five trillion, seventy-three billion, six hundred eighty-five million, one hundred sixty-seven thousand, four hundred fifty-six".