114145210368000 has 3584 divisors, whose sum is σ = 503466637639680. Its totient is φ = 25282923724800.

The previous prime is 114145210367987. The next prime is 114145210368103. The reversal of 114145210368000 is 863012541411.

114145210368000 is a `hidden beast` number, since 1 + 1 + 41 + 45 + 210 + 368 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 898781183937 + ... + 898781184063.

Almost surely, 2^{114145210368000} is an apocalyptic number.

114145210368000 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 114145210368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251733318819840).

114145210368000 is an abundant number, since it is smaller than the sum of its proper divisors (389321427271680).

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

114145210368000 is an frugal number, since it uses more digits than its factorization.

114145210368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 114145210368000 in words is "one hundred fourteen trillion, one hundred forty-five billion, two hundred ten million, three hundred sixty-eight thousand".