398102336060004 has 243 divisors, whose sum is σ = 1033098843637497. Its totient is φ = 129259650476736.

The previous prime is 398102336059991. The next prime is 398102336060017. The reversal of 398102336060004 is 400060633201893.

The square root of 398102336060004 is 19952502.

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

398102336060004 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 0 + 2 + 3 + 36 + 0 + 600 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (398102336059991) and next prime (398102336060017).

It can be written as a sum of positive squares in only one way, i.e., 116689901336100 + 281412434723904 = 10802310^2 + 16775352^2 .

It is a super-2 number, since 2×398102336060004² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1108920155977 + ... + 1108920156335.

Almost surely, 2^{398102336060004} is an apocalyptic number.

398102336060004 is the 19952502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398102336060004

398102336060004 is an abundant number, since it is smaller than the sum of its proper divisors (634996507577493).

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

398102336060004 is an equidigital number, since it uses as much as digits as its factorization.

398102336060004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 398102336060004 its reverse (400060633201893), we get a palindrome (798162969261897).

The spelling of 398102336060004 in words is "three hundred ninety-eight trillion, one hundred two billion, three hundred thirty-six million, sixty thousand, four".