9946151424 has 240 divisors, whose sum is σ = 31464370080. Its totient is φ = 2999623680.

The previous prime is 9946151417. The next prime is 9946151437. The reversal of 9946151424 is 4241516499.

9946151424 is a `hidden beast` number, since 9 + 9 + 4 + 615 + 1 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9946151424.

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, 16067787 + ... + 16068405.

It is an arithmetic number, because the mean of its divisors is an integer number (131101542).

Almost surely, 2^9946151424 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 9946151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732185040).

9946151424 is an abundant number, since it is smaller than the sum of its proper divisors (21518218656).

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

9946151424 is a wasteful number, since it uses less digits than its factorization.

9946151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 9946151424 is about 99730.3936821669. The cubic root of 9946151424 is about 2150.5606199115.

The spelling of 9946151424 in words is "nine billion, nine hundred forty-six million, one hundred fifty-one thousand, four hundred twenty-four".