2314945985184 has 252 divisors, whose sum is σ = 7948827217674. Its totient is φ = 661412812032.

The previous prime is 2314945985147. The next prime is 2314945985197. The reversal of 2314945985184 is 4815895494132.

2314945985184 is a `hidden beast` number, since 2 + 3 + 1 + 494 + 5 + 98 + 51 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2229347610000 + 85598375184 = 1493100^2 + 292572^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 130474 + ... + 2155670.

Almost surely, 2^{2314945985184} is an apocalyptic number.

2314945985184 is a gapful number since it is divisible by the number (24) 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 2314945985184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974413608837).

2314945985184 is an abundant number, since it is smaller than the sum of its proper divisors (5633881232490).

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

2314945985184 is an equidigital number, since it uses as much as digits as its factorization.

2314945985184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025239 (or 2025209 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 2314945985184 in words is "two trillion, three hundred fourteen billion, nine hundred forty-five million, nine hundred eighty-five thousand, one hundred eighty-four".