114147363741411 has 432 divisors, whose sum is σ = 217189166971392. Its totient is φ = 53067293959680.

The previous prime is 114147363741379. The next prime is 114147363741443.

114147363741411 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (114147363741379) and next prime (114147363741443).

It is not a de Polignac number, because 114147363741411 - 2⁵ = 114147363741379 is a prime.

It is a super-2 number, since 2×114147363741411² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114147363741451) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34145186406 + ... + 34145189748.

Almost surely, 2^{114147363741411} is an apocalyptic number.

114147363741411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114147363741411 is a deficient number, since it is larger than the sum of its proper divisors (103041803229981).

114147363741411 is a wasteful number, since it uses less digits than its factorization.

114147363741411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3721 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 114147363741411 in words is "one hundred fourteen trillion, one hundred forty-seven billion, three hundred sixty-three million, seven hundred forty-one thousand, four hundred eleven".