314144980992 has 384 divisors, whose sum is σ = 993211128000. Its totient is φ = 97844723712.

The previous prime is 314144980951. The next prime is 314144980997. The reversal of 314144980992 is 299089441413.

314144980992 is a `hidden beast` number, since 3 + 141 + 4 + 498 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (314144980997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303355868 + ... + 4303355940.

Almost surely, 2^314144980992 is an apocalyptic number.

314144980992 is a gapful number since it is divisible by the number (32) 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 314144980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496605564000).

314144980992 is an abundant number, since it is smaller than the sum of its proper divisors (679066147008).

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

314144980992 is an frugal number, since it uses more digits than its factorization.

314144980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 314144980992 in words is "three hundred fourteen billion, one hundred forty-four million, nine hundred eighty thousand, nine hundred ninety-two".