10914528768 has 640 divisors, whose sum is σ = 37617592320. Its totient is φ = 2760376320.

The previous prime is 10914528727. The next prime is 10914528773. The reversal of 10914528768 is 86782541901.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10914528768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138158553 + ... + 138158631.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^10914528768 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 10914528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

10914528768 is an abundant number, since it is smaller than the sum of its proper divisors (26703063552).

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

10914528768 is a wasteful number, since it uses less digits than its factorization.

10914528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 10914528768 in words is "ten billion, nine hundred fourteen million, five hundred twenty-eight thousand, seven hundred sixty-eight".