314150553120 has 192 divisors, whose sum is σ = 1004790528000. Its totient is φ = 82491042816.

The previous prime is 314150553113. The next prime is 314150553127. The reversal of 314150553120 is 21355051413.

It is an interprime number because it is at equal distance from previous prime (314150553113) and next prime (314150553127).

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

It is not an unprimeable number, because it can be changed into a prime (314150553127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14360751 + ... + 14382609.

It is an arithmetic number, because the mean of its divisors is an integer number (5233284000).

Almost surely, 2^314150553120 is an apocalyptic number.

314150553120 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 314150553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502395264000).

314150553120 is an abundant number, since it is smaller than the sum of its proper divisors (690639974880).

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

314150553120 is a wasteful number, since it uses less digits than its factorization.

314150553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22335 (or 22327 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 314150553120 in words is "three hundred fourteen billion, one hundred fifty million, five hundred fifty-three thousand, one hundred twenty".