1314156009600 has 2304 divisors, whose sum is σ = 5868130665600. Its totient is φ = 286123622400.

The previous prime is 1314156009493. The next prime is 1314156009689. The reversal of 1314156009600 is 69006514131.

1314156009600 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 560 + 0 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11629699144 + ... + 11629699256.

Almost surely, 2^{1314156009600} is an apocalyptic number.

1314156009600 is a gapful number since it is divisible by the number (10) 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 1314156009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934065332800).

1314156009600 is an abundant number, since it is smaller than the sum of its proper divisors (4553974656000).

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

1314156009600 is a wasteful number, since it uses less digits than its factorization.

1314156009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1314156009600 in words is "one trillion, three hundred fourteen billion, one hundred fifty-six million, nine thousand, six hundred".