1238522703264 has 864 divisors, whose sum is σ = 4652378482752. Its totient is φ = 320495616000.

The previous prime is 1238522703263. The next prime is 1238522703293. The reversal of 1238522703264 is 4623072258321.

1238522703264 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 52 + 270 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (1238522703263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1932172384 + ... + 1932173024.

It is an arithmetic number, because the mean of its divisors is an integer number (5384697318).

Almost surely, 2^{1238522703264} is an apocalyptic number.

1238522703264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238522703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326189241376).

1238522703264 is an abundant number, since it is smaller than the sum of its proper divisors (3413855779488).

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

1238522703264 is a wasteful number, since it uses less digits than its factorization.

1238522703264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1238522703264 in words is "one trillion, two hundred thirty-eight billion, five hundred twenty-two million, seven hundred three thousand, two hundred sixty-four".