314450197632 has 256 divisors, whose sum is σ = 942462864000. Its totient is φ = 103200768000.

The previous prime is 314450197631. The next prime is 314450197643. The reversal of 314450197632 is 236791054413.

314450197632 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 5 + 0 + 1 + 9 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (314450197631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77201548 + ... + 77205620.

Almost surely, 2^314450197632 is an apocalyptic number.

314450197632 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 314450197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471231432000).

314450197632 is an abundant number, since it is smaller than the sum of its proper divisors (628012666368).

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

314450197632 is a wasteful number, since it uses less digits than its factorization.

314450197632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 314450197632 in words is "three hundred fourteen billion, four hundred fifty million, one hundred ninety-seven thousand, six hundred thirty-two".