9649165347936 has 384 divisors, whose sum is σ = 29868725376000. Its totient is φ = 3025987227648.

The previous prime is 9649165347893. The next prime is 9649165347937. The reversal of 9649165347936 is 6397435619469.

9649165347936 is a `hidden beast` number, since 9 + 6 + 4 + 9 + 16 + 534 + 79 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649165347937) 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 63 ways as a sum of consecutive naturals, for example, 151782525 + ... + 151846083.

It is an arithmetic number, because the mean of its divisors is an integer number (77783139000).

Almost surely, 2^{9649165347936} is an apocalyptic number.

9649165347936 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 9649165347936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934362688000).

9649165347936 is an abundant number, since it is smaller than the sum of its proper divisors (20219560028064).

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

9649165347936 is a wasteful number, since it uses less digits than its factorization.

9649165347936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63763 (or 63749 counting only the distinct ones).

The product of its digits is 793618560, while the sum is 72.

The spelling of 9649165347936 in words is "nine trillion, six hundred forty-nine billion, one hundred sixty-five million, three hundred forty-seven thousand, nine hundred thirty-six".