9403634016 has 144 divisors (see below), whose sum is σ = 30696775200. Its totient is φ = 2674888704.

The previous prime is 9403633969. The next prime is 9403634029. The reversal of 9403634016 is 6104363049.

9403634016 is a `hidden beast` number, since 9 + 4 + 0 + 3 + 634 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 451480 + ... + 471848.

It is an arithmetic number, because the mean of its divisors is an integer number (213172050).

Almost surely, 2^9403634016 is an apocalyptic number.

9403634016 is a gapful number since it is divisible by the number (96) 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 9403634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348387600).

9403634016 is an abundant number, since it is smaller than the sum of its proper divisors (21293141184).

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

9403634016 is a wasteful number, since it uses less digits than its factorization.

9403634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20621 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 9403634016 is about 96972.3363439285. The cubic root of 9403634016 is about 2110.7262248646.

The spelling of 9403634016 in words is "nine billion, four hundred three million, six hundred thirty-four thousand, sixteen".