10048319664 has 80 divisors (see below), whose sum is σ = 26850186240. Its totient is φ = 3234781440.

The previous prime is 10048319657. The next prime is 10048319717. The reversal of 10048319664 is 46691384001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750759 + ... + 764025.

It is an arithmetic number, because the mean of its divisors is an integer number (335627328).

Almost surely, 2^10048319664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10048319664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425093120).

10048319664 is an abundant number, since it is smaller than the sum of its proper divisors (16801866576).

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

10048319664 is a wasteful number, since it uses less digits than its factorization.

10048319664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10048319664 in words is "ten billion, forty-eight million, three hundred nineteen thousand, six hundred sixty-four".