9781629948 has 18 divisors (see below), whose sum is σ = 24725786904. Its totient is φ = 3260543304.

The previous prime is 9781629937. The next prime is 9781629953. The reversal of 9781629948 is 8499261879.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×9781629948² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 135855936 + ... + 135856007.

It is an arithmetic number, because the mean of its divisors is an integer number (1373654828).

Almost surely, 2^9781629948 is an apocalyptic number.

It is an amenable number.

9781629948 is an abundant number, since it is smaller than the sum of its proper divisors (14944156956).

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

9781629948 is a wasteful number, since it uses less digits than its factorization.

9781629948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271711953 (or 271711948 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 9781629948 is about 98902.1230712466. The cubic root of 9781629948 is about 2138.6370005871.

The spelling of 9781629948 in words is "nine billion, seven hundred eighty-one million, six hundred twenty-nine thousand, nine hundred forty-eight".