9954413616 has 320 divisors, whose sum is σ = 31857960960. Its totient is φ = 2616852480.

The previous prime is 9954413603. The next prime is 9954413629. The reversal of 9954413616 is 6163144599.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9954413603) and next prime (9954413629).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28199296 + ... + 28199648.

It is an arithmetic number, because the mean of its divisors is an integer number (99556128).

Almost surely, 2^9954413616 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 9954413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928980480).

9954413616 is an abundant number, since it is smaller than the sum of its proper divisors (21903547344).

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

9954413616 is a wasteful number, since it uses less digits than its factorization.

9954413616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 9954413616 is about 99771.8077214200. The cubic root of 9954413616 is about 2151.1559398583.

The spelling of 9954413616 in words is "nine billion, nine hundred fifty-four million, four hundred thirteen thousand, six hundred sixteen".