315512066416050 has 288 divisors, whose sum is σ = 998973133127424. Its totient is φ = 69892139520000.

The previous prime is 315512066416039. The next prime is 315512066416067. The reversal of 315512066416050 is 50614660215513.

315512066416050 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 120 + 66 + 416 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315512066415987 and 315512066416005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11412282 + ... + 27591018.

It is an arithmetic number, because the mean of its divisors is an integer number (3468656712248).

Almost surely, 2^{315512066416050} is an apocalyptic number.

315512066416050 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 315512066416050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499486566563712).

315512066416050 is an abundant number, since it is smaller than the sum of its proper divisors (683461066711374).

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

315512066416050 is a wasteful number, since it uses less digits than its factorization.

315512066416050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178954 (or 16178946 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 315512066416050 in words is "three hundred fifteen trillion, five hundred twelve billion, sixty-six million, four hundred sixteen thousand, fifty".