9251266464384 has 384 divisors, whose sum is σ = 29593509304320. Its totient is φ = 2550526433280.

The previous prime is 9251266464361. The next prime is 9251266464413. The reversal of 9251266464384 is 4834646621529.

It is a tau number, because it is divible by the number of its divisors (384).

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, 202380859 + ... + 202426565.

It is an arithmetic number, because the mean of its divisors is an integer number (77066430480).

Almost surely, 2^{9251266464384} 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 9251266464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796754652160).

9251266464384 is an abundant number, since it is smaller than the sum of its proper divisors (20342242839936).

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

9251266464384 is a wasteful number, since it uses less digits than its factorization.

9251266464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46116 (or 46097 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 9251266464384 in words is "nine trillion, two hundred fifty-one billion, two hundred sixty-six million, four hundred sixty-four thousand, three hundred eighty-four".