5345216415 has 192 divisors, whose sum is σ = 12363466752. Its totient is φ = 2068070400.

The previous prime is 5345216341. The next prime is 5345216431. The reversal of 5345216415 is 5146125435.

5345216415 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 2 + 1 + 641 + 5 = 666.

It is not a de Polignac number, because 5345216415 - 2⁸ = 5345216159 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5345216415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6066775 + ... + 6067655.

It is an arithmetic number, because the mean of its divisors is an integer number (64393056).

Almost surely, 2^5345216415 is an apocalyptic number.

5345216415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5345216415 is an abundant number, since it is smaller than the sum of its proper divisors (7018250337).

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

5345216415 is a wasteful number, since it uses less digits than its factorization.

5345216415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1027 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5345216415 is about 73110.9869650246. The cubic root of 5345216415 is about 1748.4575704438.

The spelling of 5345216415 in words is "five billion, three hundred forty-five million, two hundred sixteen thousand, four hundred fifteen".