314824542648 has 1024 divisors, whose sum is σ = 1132285132800. Its totient is φ = 70447104000.

The previous prime is 314824542629. The next prime is 314824542667. The reversal of 314824542648 is 846245428413.

It is an interprime number because it is at equal distance from previous prime (314824542629) and next prime (314824542667).

It is a super-2 number, since 2×314824542648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 314824542648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2005251786 + ... + 2005251942.

It is an arithmetic number, because the mean of its divisors is an integer number (1105747200).

Almost surely, 2^314824542648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314824542648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566142566400).

314824542648 is an abundant number, since it is smaller than the sum of its proper divisors (817460590152).

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

314824542648 is a wasteful number, since it uses less digits than its factorization.

314824542648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 51.

The spelling of 314824542648 in words is "three hundred fourteen billion, eight hundred twenty-four million, five hundred forty-two thousand, six hundred forty-eight".