1315962648 has 576 divisors, whose sum is σ = 5204908800. Its totient is φ = 289267200.

The previous prime is 1315962647. The next prime is 1315962649. The reversal of 1315962648 is 8462695131.

1315962648 is a `hidden beast` number, since 1 + 3 + 15 + 9 + 626 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1315962647) and next prime (1315962649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315962647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42450393 + ... + 42450423.

It is an arithmetic number, because the mean of its divisors is an integer number (9036300).

Almost surely, 2^1315962648 is an apocalyptic number.

1315962648 is a gapful number since it is divisible by the number (18) 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 1315962648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602454400).

1315962648 is an abundant number, since it is smaller than the sum of its proper divisors (3888946152).

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

1315962648 is a wasteful number, since it uses less digits than its factorization.

1315962648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 86 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1315962648 is about 36276.1994701760. The cubic root of 1315962648 is about 1095.8417796892.

The spelling of 1315962648 in words is "one billion, three hundred fifteen million, nine hundred sixty-two thousand, six hundred forty-eight".