247415360416 has 96 divisors (see below), whose sum is σ = 565144594560. Its totient is φ = 104435229696.

The previous prime is 247415360411. The next prime is 247415360417. The reversal of 247415360416 is 614063514742.

247415360416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247415360416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247415360411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116630 + ... + 4176298.

It is an arithmetic number, because the mean of its divisors is an integer number (5886922860).

Almost surely, 2^247415360416 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 247415360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282572297280).

247415360416 is an abundant number, since it is smaller than the sum of its proper divisors (317729234144).

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

247415360416 is a wasteful number, since it uses less digits than its factorization.

247415360416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59966 (or 59958 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 247415360416 in words is "two hundred forty-seven billion, four hundred fifteen million, three hundred sixty thousand, four hundred sixteen".