114167142350949 has 32 divisors (see below), whose sum is σ = 158742822970368. Its totient is φ = 72902237760000.

The previous prime is 114167142350939. The next prime is 114167142350959. The reversal of 114167142350949 is 949053241761411.

It is an interprime number because it is at equal distance from previous prime (114167142350939) and next prime (114167142350959).

It is not a de Polignac number, because 114167142350949 - 2⁴⁵ = 78982770262117 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114167142350939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25679539 + ... + 29795519.

It is an arithmetic number, because the mean of its divisors is an integer number (4960713217824).

Almost surely, 2^{114167142350949} is an apocalyptic number.

It is an amenable number.

114167142350949 is a deficient number, since it is larger than the sum of its proper divisors (44575680619419).

114167142350949 is a wasteful number, since it uses less digits than its factorization.

114167142350949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119069.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 114167142350949 in words is "one hundred fourteen trillion, one hundred sixty-seven billion, one hundred forty-two million, three hundred fifty thousand, nine hundred forty-nine".