921269127168 has 576 divisors, whose sum is σ = 2993823967680. Its totient is φ = 281351356416.

The previous prime is 921269127137. The next prime is 921269127187. The reversal of 921269127168 is 861721962129.

It is a happy number.

921269127168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015731771 + ... + 1015732677.

It is an arithmetic number, because the mean of its divisors is an integer number (5197611055).

Almost surely, 2^921269127168 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 921269127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496911983840).

921269127168 is an abundant number, since it is smaller than the sum of its proper divisors (2072554840512).

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

921269127168 is a wasteful number, since it uses less digits than its factorization.

921269127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1082 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 921269127168 in words is "nine hundred twenty-one billion, two hundred sixty-nine million, one hundred twenty-seven thousand, one hundred sixty-eight".