314545022220 has 576 divisors, whose sum is σ = 1091194933248. Its totient is φ = 66673152000.

The previous prime is 314545022191. The next prime is 314545022261. The reversal of 314545022220 is 22220545413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 747137610 + ... + 747138030.

It is an arithmetic number, because the mean of its divisors is an integer number (1894435648).

Almost surely, 2^314545022220 is an apocalyptic number.

314545022220 is a gapful number since it is divisible by the number (30) 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 314545022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545597466624).

314545022220 is an abundant number, since it is smaller than the sum of its proper divisors (776649911028).

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

314545022220 is a wasteful number, since it uses less digits than its factorization.

314545022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 314545022220 its reverse (22220545413), we get a palindrome (336765567633).

The spelling of 314545022220 in words is "three hundred fourteen billion, five hundred forty-five million, twenty-two thousand, two hundred twenty".