5467868955648 has 792 divisors, whose sum is σ = 18017909573664. Its totient is φ = 1644679987200.

The previous prime is 5467868955641. The next prime is 5467868955677. The reversal of 5467868955648 is 8465598687645.

5467868955648 is a `hidden beast` number, since 5 + 46 + 7 + 8 + 6 + 8 + 9 + 5 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×5467868955648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (5467868955641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17810647911 + ... + 17810648217.

Almost surely, 2^{5467868955648} 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 5467868955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008954786832).

5467868955648 is an abundant number, since it is smaller than the sum of its proper divisors (12550040618016).

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

5467868955648 is an equidigital number, since it uses as much as digits as its factorization.

5467868955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 564 counting only the distinct ones).

The product of its digits is 13934592000, while the sum is 81.

The spelling of 5467868955648 in words is "five trillion, four hundred sixty-seven billion, eight hundred sixty-eight million, nine hundred fifty-five thousand, six hundred forty-eight".