9737402171952 has 1920 divisors, whose sum is σ = 36561059942400. Its totient is φ = 2160187932672.

The previous prime is 9737402171947. The next prime is 9737402171953. The reversal of 9737402171952 is 2591712047379.

It is a junction number, because it is equal to n+sod(n) for n = 9737402171892 and 9737402171901.

It is not an unprimeable number, because it can be changed into a prime (9737402171953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 109409013124 + ... + 109409013212.

It is an arithmetic number, because the mean of its divisors is an integer number (19042218720).

Almost surely, 2^{9737402171952} is an apocalyptic number.

9737402171952 is a gapful number since it is divisible by the number (92) 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 9737402171952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280529971200).

9737402171952 is an abundant number, since it is smaller than the sum of its proper divisors (26823657770448).

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

9737402171952 is a wasteful number, since it uses less digits than its factorization.

9737402171952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 9737402171952 in words is "nine trillion, seven hundred thirty-seven billion, four hundred two million, one hundred seventy-one thousand, nine hundred fifty-two".