114101153145405 has 64 divisors (see below), whose sum is σ = 214807568613120. Its totient is φ = 57266590353408.

The previous prime is 114101153145403. The next prime is 114101153145431. The reversal of 114101153145405 is 504541351101411.

114101153145405 is a `hidden beast` number, since 1 + 1 + 4 + 101 + 1 + 5 + 3 + 1 + 4 + 540 + 5 = 666.

It is not a de Polignac number, because 114101153145405 - 2¹ = 114101153145403 is a prime.

It is a super-2 number, since 2×114101153145405² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114101153145405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101153145403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13714374 + ... + 20403096.

It is an arithmetic number, because the mean of its divisors is an integer number (3356368259580).

Almost surely, 2^{114101153145405} is an apocalyptic number.

114101153145405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114101153145405 is a deficient number, since it is larger than the sum of its proper divisors (100706415467715).

114101153145405 is a wasteful number, since it uses less digits than its factorization.

114101153145405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696187 (or 6696181 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 114101153145405 in words is "one hundred fourteen trillion, one hundred one billion, one hundred fifty-three million, one hundred forty-five thousand, four hundred five".