9912513408 has 512 divisors, whose sum is σ = 34369920000. Its totient is φ = 2514419712.

The previous prime is 9912513383. The next prime is 9912513409. The reversal of 9912513408 is 8043152199.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9912513408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9912513409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42542860 + ... + 42543092.

It is an arithmetic number, because the mean of its divisors is an integer number (67128750).

Almost surely, 2^9912513408 is an apocalyptic number.

9912513408 is a gapful number since it is divisible by the number (98) 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 9912513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

9912513408 is an abundant number, since it is smaller than the sum of its proper divisors (24457406592).

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

9912513408 is a wasteful number, since it uses less digits than its factorization.

9912513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 9912513408 is about 99561.6060939155. The cubic root of 9912513408 is about 2148.1334734603.

The spelling of 9912513408 in words is "nine billion, nine hundred twelve million, five hundred thirteen thousand, four hundred eight".