5216748945408 has 3240 divisors, whose sum is σ = 22785843081456. Its totient is φ = 1177194332160.

The previous prime is 5216748945407. The next prime is 5216748945427. The reversal of 5216748945408 is 8045498476125.

It is a happy number.

5216748945408 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 7 + 4 + 89 + 4 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216748945407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 306867585016 + ... + 306867585032.

Almost surely, 2^{5216748945408} 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 5216748945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392921540728).

5216748945408 is an abundant number, since it is smaller than the sum of its proper divisors (17569094136048).

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

5216748945408 is a wasteful number, since it uses less digits than its factorization.

5216748945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5216748945408 in words is "five trillion, two hundred sixteen billion, seven hundred forty-eight million, nine hundred forty-five thousand, four hundred eight".