315623734416 has 45 divisors (see below), whose sum is σ = 883326957721. Its totient is φ = 105205664256.

The previous prime is 315623734411. The next prime is 315623734417. The reversal of 315623734416 is 614437326513.

The square root of 315623734416 is 561804.

It is a perfect power (a square), and thus also a powerful number.

315623734416 is a `hidden beast` number, since 3 + 1 + 5 + 623 + 7 + 3 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236721171600 + 78902562816 = 486540^2 + 280896^2 .

It is a super-2 number, since 2×315623734416² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315623734411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6718240 + ... + 6765056.

Almost surely, 2^315623734416 is an apocalyptic number.

315623734416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315623734416 is the 561804-th square number.

It is an amenable number.

315623734416 is an abundant number, since it is smaller than the sum of its proper divisors (567703223305).

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

315623734416 is an frugal number, since it uses more digits than its factorization.

315623734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93648 (or 46822 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 315623734416 in words is "three hundred fifteen billion, six hundred twenty-three million, seven hundred thirty-four thousand, four hundred sixteen".