264048978312 has 192 divisors, whose sum is σ = 864639360000. Its totient is φ = 71112235392.

The previous prime is 264048978241. The next prime is 264048978313. The reversal of 264048978312 is 213879840462.

264048978312 is a `hidden beast` number, since 2 + 64 + 0 + 489 + 78 + 31 + 2 = 666.

264048978312 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×264048978312² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264048978313) 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, 1836343 + ... + 1974905.

It is an arithmetic number, because the mean of its divisors is an integer number (4503330000).

Almost surely, 2^264048978312 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 264048978312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432319680000).

264048978312 is an abundant number, since it is smaller than the sum of its proper divisors (600590381688).

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

264048978312 is a wasteful number, since it uses less digits than its factorization.

264048978312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138800 (or 138793 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 264048978312 in words is "two hundred sixty-four billion, forty-eight million, nine hundred seventy-eight thousand, three hundred twelve".