314062477150464 has 864 divisors, whose sum is σ = 1127434479365376. Its totient is φ = 82030291845120.

The previous prime is 314062477150453. The next prime is 314062477150483. The reversal of 314062477150464 is 464051774260413.

314062477150464 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 6 + 2 + 4 + 7 + 71 + 504 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314062477150464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2551694494 + ... + 2551817570.

It is an arithmetic number, because the mean of its divisors is an integer number (1304901017784).

Almost surely, 2^{314062477150464} is an apocalyptic number.

314062477150464 is a gapful number since it is divisible by the number (34) 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 314062477150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563717239682688).

314062477150464 is an abundant number, since it is smaller than the sum of its proper divisors (813372002214912).

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

314062477150464 is a wasteful number, since it uses less digits than its factorization.

314062477150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123391 (or 123374 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 314062477150464 in words is "three hundred fourteen trillion, sixty-two billion, four hundred seventy-seven million, one hundred fifty thousand, four hundred sixty-four".