5415341764248 has 960 divisors, whose sum is σ = 18349547673600. Its totient is φ = 1432311828480.

The previous prime is 5415341764243. The next prime is 5415341764249. The reversal of 5415341764248 is 8424671435145.

5415341764248 is a `hidden beast` number, since 5 + 4 + 1 + 534 + 1 + 7 + 64 + 2 + 48 = 666.

It is a super-2 number, since 2×5415341764248² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5415341764194 and 5415341764203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415341764243) 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 239 ways as a sum of consecutive naturals, for example, 20590652965 + ... + 20590653227.

It is an arithmetic number, because the mean of its divisors is an integer number (19114112160).

Almost surely, 2^{5415341764248} 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 5415341764248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174773836800).

5415341764248 is an abundant number, since it is smaller than the sum of its proper divisors (12934205909352).

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

5415341764248 is a wasteful number, since it uses less digits than its factorization.

5415341764248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 348 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 5415341764248 in words is "five trillion, four hundred fifteen billion, three hundred forty-one million, seven hundred sixty-four thousand, two hundred forty-eight".