314150211152220 has 384 divisors, whose sum is σ = 900621887864832. Its totient is φ = 81805344768000.

The previous prime is 314150211152213. The next prime is 314150211152221. The reversal of 314150211152220 is 22251112051413.

It is a super-2 number, since 2×314150211152220² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314150211152221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121246703125 + ... + 121246705715.

It is an arithmetic number, because the mean of its divisors is an integer number (2345369499648).

Almost surely, 2^{314150211152220} is an apocalyptic number.

314150211152220 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 314150211152220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450310943932416).

314150211152220 is an abundant number, since it is smaller than the sum of its proper divisors (586471676712612).

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

314150211152220 is a wasteful number, since it uses less digits than its factorization.

314150211152220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 314150211152220 in words is "three hundred fourteen trillion, one hundred fifty billion, two hundred eleven million, one hundred fifty-two thousand, two hundred twenty".