314023077711104 has 72 divisors (see below), whose sum is σ = 670134843443520. Its totient is φ = 146340851539968.

The previous prime is 314023077711061. The next prime is 314023077711137. The reversal of 314023077711104 is 401117770320413.

It is a super-2 number, since 2×314023077711104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349823774 + ... + 350720285.

It is an arithmetic number, because the mean of its divisors is an integer number (9307428381160).

Almost surely, 2^{314023077711104} is an apocalyptic number.

314023077711104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314023077711104 is an abundant number, since it is smaller than the sum of its proper divisors (356111765732416).

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

314023077711104 is a wasteful number, since it uses less digits than its factorization.

314023077711104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700544195 (or 700544181 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 314023077711104 in words is "three hundred fourteen trillion, twenty-three billion, seventy-seven million, seven hundred eleven thousand, one hundred four".