314224101345000 has 320 divisors, whose sum is σ = 1223857990080000. Its totient is φ = 65293319520000.

The previous prime is 314224101344999. The next prime is 314224101345013. The reversal of 314224101345000 is 543101422413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134872750 + ... + 137182749.

It is an arithmetic number, because the mean of its divisors is an integer number (3824556219000).

Almost surely, 2^{314224101345000} is an apocalyptic number.

314224101345000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314224101345000 is an abundant number, since it is smaller than the sum of its proper divisors (909633888735000).

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

314224101345000 is a wasteful number, since it uses less digits than its factorization.

314224101345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272055546 (or 272055527 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 314224101345000 its reverse (543101422413), we get a palindrome (314767202767413).

The spelling of 314224101345000 in words is "three hundred fourteen trillion, two hundred twenty-four billion, one hundred one million, three hundred forty-five thousand".