315214544190 has 256 divisors, whose sum is σ = 949949005824. Its totient is φ = 65163571200.

The previous prime is 315214544147. The next prime is 315214544191. The reversal of 315214544190 is 91445412513.

It is a super-2 number, since 2×315214544190² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315214544191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212838250 + ... + 212839730.

It is an arithmetic number, because the mean of its divisors is an integer number (3710738304).

Almost surely, 2^315214544190 is an apocalyptic number.

315214544190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315214544190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474974502912).

315214544190 is an abundant number, since it is smaller than the sum of its proper divisors (634734461634).

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

315214544190 is a wasteful number, since it uses less digits than its factorization.

315214544190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035.

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 315214544190 in words is "three hundred fifteen billion, two hundred fourteen million, five hundred forty-four thousand, one hundred ninety".