314633146314630 has 512 divisors, whose sum is σ = 919489148928000. Its totient is φ = 67858543411200.

The previous prime is 314633146314589. The next prime is 314633146314631. The reversal of 314633146314630 is 36413641336413.

It is a self number, because there is not a number n which added to its sum of digits gives 314633146314630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314633146314631) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43118147142 + ... + 43118154438.

It is an arithmetic number, because the mean of its divisors is an integer number (1795877244000).

Almost surely, 2^{314633146314630} is an apocalyptic number.

314633146314630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314633146314630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459744574464000).

314633146314630 is an abundant number, since it is smaller than the sum of its proper divisors (604856002613370).

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

314633146314630 is a wasteful number, since it uses less digits than its factorization.

314633146314630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640.

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 314633146314630 in words is "three hundred fourteen trillion, six hundred thirty-three billion, one hundred forty-six million, three hundred fourteen thousand, six hundred thirty".