314464781136000 has 1024 divisors, whose sum is σ = 1144565445703680. Its totient is φ = 75743078400000.

The previous prime is 314464781135993. The next prime is 314464781136151. The reversal of 314464781136000 is 631187464413.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53653773070 + ... + 53653778930.

It is an arithmetic number, because the mean of its divisors is an integer number (1117739693070).

Almost surely, 2^{314464781136000} is an apocalyptic number.

314464781136000 is a gapful number since it is divisible by the number (30) 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 314464781136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572282722851840).

314464781136000 is an abundant number, since it is smaller than the sum of its proper divisors (830100664567680).

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

314464781136000 is a wasteful number, since it uses less digits than its factorization.

314464781136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 314464781136000 in words is "three hundred fourteen trillion, four hundred sixty-four billion, seven hundred eighty-one million, one hundred thirty-six thousand".