114309900080640 has 1920 divisors, whose sum is σ = 476190777553920. Its totient is φ = 25015379558400.

The previous prime is 114309900080611. The next prime is 114309900080653. The reversal of 114309900080640 is 46080009903411.

114309900080640 is a `hidden beast` number, since 11 + 430 + 9 + 90 + 0 + 0 + 80 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31121669844 + ... + 31121673516.

It is an arithmetic number, because the mean of its divisors is an integer number (248016029976).

Almost surely, 2^{114309900080640} is an apocalyptic number.

114309900080640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114309900080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238095388776960).

114309900080640 is an abundant number, since it is smaller than the sum of its proper divisors (361880877473280).

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

114309900080640 is a wasteful number, since it uses less digits than its factorization.

114309900080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 114309900080640 in words is "one hundred fourteen trillion, three hundred nine billion, nine hundred million, eighty thousand, six hundred forty".