389711101248 has 336 divisors, whose sum is σ = 1346363291520. Its totient is φ = 105284800512.

The previous prime is 389711101231. The next prime is 389711101249. The reversal of 389711101248 is 842101117983.

It is a happy number.

389711101248 is a `hidden beast` number, since 389 + 7 + 11 + 10 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389711101249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42666090 + ... + 42675222.

Almost surely, 2^389711101248 is an apocalyptic number.

389711101248 is a gapful number since it is divisible by the number (38) 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 389711101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673181645760).

389711101248 is an abundant number, since it is smaller than the sum of its proper divisors (956652190272).

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

389711101248 is a wasteful number, since it uses less digits than its factorization.

389711101248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 389711101248 in words is "three hundred eighty-nine billion, seven hundred eleven million, one hundred one thousand, two hundred forty-eight".