314896766946048 has 1152 divisors, whose sum is σ = 1144100384000000. Its totient is φ = 85161314746368.

The previous prime is 314896766946019. The next prime is 314896766946089. The reversal of 314896766946048 is 840649667698413.

314896766946048 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 96 + 7 + 6 + 69 + 460 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69775483440 + ... + 69775487952.

Almost surely, 2^{314896766946048} is an apocalyptic number.

314896766946048 is a gapful number since it is divisible by the number (38) 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 314896766946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572050192000000).

314896766946048 is an abundant number, since it is smaller than the sum of its proper divisors (829203617053952).

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

314896766946048 is a wasteful number, since it uses less digits than its factorization.

314896766946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 314896766946048 in words is "three hundred fourteen trillion, eight hundred ninety-six billion, seven hundred sixty-six million, nine hundred forty-six thousand, forty-eight".