1238822424576 has 1053 divisors, whose sum is σ = 4317372721389. Its totient is φ = 341920972800.

The previous prime is 1238822424571. The next prime is 1238822424599. The reversal of 1238822424576 is 6754242288321.

The square root of 1238822424576 is 1113024.

It is a perfect power (a square), and thus also a powerful number.

1238822424576 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 8 + 22 + 42 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 964481126400 + 274341298176 = 982080^2 + 523776^2 .

Its product of digits (10321920) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1238822424571) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39962013681 + ... + 39962013711.

Almost surely, 2^{1238822424576} is an apocalyptic number.

1238822424576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1238822424576 is the 1113024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238822424576

1238822424576 is an abundant number, since it is smaller than the sum of its proper divisors (3078550296813).

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

1238822424576 is a wasteful number, since it uses less digits than its factorization.

1238822424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 64 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 1238822424576 in words is "one trillion, two hundred thirty-eight billion, eight hundred twenty-two million, four hundred twenty-four thousand, five hundred seventy-six".