314845719552 has 1320 divisors, whose sum is σ = 1209643863120. Its totient is φ = 80820633600.

The previous prime is 314845719547. The next prime is 314845719557. The reversal of 314845719552 is 255917548413.

314845719552 is a `hidden beast` number, since 3 + 1 + 4 + 84 + 5 + 7 + 1 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (314845719547) and next prime (314845719557).

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

It is not an unprimeable number, because it can be changed into a prime (314845719557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3117284302 + ... + 3117284402.

It is an arithmetic number, because the mean of its divisors is an integer number (916396866).

Almost surely, 2^314845719552 is an apocalyptic number.

314845719552 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 314845719552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604821931560).

314845719552 is an abundant number, since it is smaller than the sum of its proper divisors (894798143568).

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

314845719552 is a wasteful number, since it uses less digits than its factorization.

314845719552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 314845719552 in words is "three hundred fourteen billion, eight hundred forty-five million, seven hundred nineteen thousand, five hundred fifty-two".