1315607455008 has 1152 divisors, whose sum is σ = 5285721692160. Its totient is φ = 299593728000.

The previous prime is 1315607455003. The next prime is 1315607455033. The reversal of 1315607455008 is 8005547065131.

1315607455008 is a `hidden beast` number, since 1 + 3 + 15 + 60 + 74 + 5 + 500 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1315607455003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436932223 + ... + 436935233.

It is an arithmetic number, because the mean of its divisors is an integer number (4588300080).

Almost surely, 2^{1315607455008} is an apocalyptic number.

1315607455008 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 1315607455008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642860846080).

1315607455008 is an abundant number, since it is smaller than the sum of its proper divisors (3970114237152).

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

1315607455008 is a wasteful number, since it uses less digits than its factorization.

1315607455008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1315607455008 in words is "one trillion, three hundred fifteen billion, six hundred seven million, four hundred fifty-five thousand, eight".