1238116576401 has 24 divisors (see below), whose sum is σ = 1850132315304. Its totient is φ = 797240551680.

The previous prime is 1238116576393. The next prime is 1238116576471. The reversal of 1238116576401 is 1046756118321.

1238116576401 is a `hidden beast` number, since 1 + 2 + 3 + 81 + 165 + 7 + 6 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 533564507025 + 704552069376 = 730455^2 + 839376^2 .

It is not a de Polignac number, because 1238116576401 - 2³ = 1238116576393 is a prime.

It is a super-2 number, since 2×1238116576401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1238116576471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13523970 + ... + 13615211.

It is an arithmetic number, because the mean of its divisors is an integer number (77088846471).

Almost surely, 2^{1238116576401} is an apocalyptic number.

It is an amenable number.

1238116576401 is a deficient number, since it is larger than the sum of its proper divisors (612015738903).

1238116576401 is a wasteful number, since it uses less digits than its factorization.

1238116576401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27139361 (or 27139358 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1238116576401 in words is "one trillion, two hundred thirty-eight billion, one hundred sixteen million, five hundred seventy-six thousand, four hundred one".