10416347136 has 288 divisors, whose sum is σ = 33538050000. Its totient is φ = 3092447232.

The previous prime is 10416347101. The next prime is 10416347177. The reversal of 10416347136 is 63174361401.

10416347136 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 634 + 7 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10416347136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948115 + ... + 6949613.

Almost surely, 2^10416347136 is an apocalyptic number.

10416347136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769025000).

10416347136 is an abundant number, since it is smaller than the sum of its proper divisors (23121702864).

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

10416347136 is a wasteful number, since it uses less digits than its factorization.

10416347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10416347136 in words is "ten billion, four hundred sixteen million, three hundred forty-seven thousand, one hundred thirty-six".