9734474880144 has 315 divisors, whose sum is σ = 32902651268067. Its totient is φ = 2780604614592.

The previous prime is 9734474880083. The next prime is 9734474880167. The reversal of 9734474880144 is 4410884744379.

It is a happy number.

The square root of 9734474880144 is 3120012.

It is a perfect power (a square), and thus also a powerful number.

9734474880144 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 4 + 7 + 488 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2358727009 + ... + 2358731135.

Almost surely, 2^{9734474880144} is an apocalyptic number.

9734474880144 is the 3120012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9734474880144

9734474880144 is an abundant number, since it is smaller than the sum of its proper divisors (23168176387923).

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

9734474880144 is an frugal number, since it uses more digits than its factorization.

9734474880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 9734474880144 in words is "nine trillion, seven hundred thirty-four billion, four hundred seventy-four million, eight hundred eighty thousand, one hundred forty-four".