5461367080968 has 108 divisors (see below), whose sum is σ = 15320444801415. Its totient is φ = 1757496281856.

The previous prime is 5461367080951. The next prime is 5461367080979. The reversal of 5461367080968 is 8690807631645.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5461367080968 is a `hidden beast` number, since 5 + 4 + 613 + 6 + 7 + 0 + 8 + 0 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 314902790244 + 5146464290724 = 561162^2 + 2268582^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1652478.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 575057596 + ... + 575067092.

Almost surely, 2^{5461367080968} is an apocalyptic number.

5461367080968 is a gapful number since it is divisible by the number (58) 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 5461367080968

5461367080968 is an abundant number, since it is smaller than the sum of its proper divisors (9859077720447).

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

5461367080968 is an frugal number, since it uses more digits than its factorization.

5461367080968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19064 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5461367080968 in words is "five trillion, four hundred sixty-one billion, three hundred sixty-seven million, eighty thousand, nine hundred sixty-eight".