114022167755004 has 36 divisors (see below), whose sum is σ = 288223136931184. Its totient is φ = 38007331875072.

The previous prime is 114022167754927. The next prime is 114022167755017. The reversal of 114022167755004 is 400557761220411.

114022167755004 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 21 + 6 + 77 + 550 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×114022167755004³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26605164 + ... + 30592140.

Almost surely, 2^{114022167755004} is an apocalyptic number.

It is an amenable number.

114022167755004 is an abundant number, since it is smaller than the sum of its proper divisors (174200969176180).

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

114022167755004 is a wasteful number, since it uses less digits than its factorization.

114022167755004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781394 (or 4781389 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 114022167755004 in words is "one hundred fourteen trillion, twenty-two billion, one hundred sixty-seven million, seven hundred fifty-five thousand, four".