1314859392000 has 2816 divisors, whose sum is σ = 6234178129920. Its totient is φ = 268738560000.

The previous prime is 1314859391983. The next prime is 1314859392037. The reversal of 1314859392000 is 2939584131.

It is a happy number.

1314859392000 is a `hidden beast` number, since 1 + 31 + 4 + 8 + 593 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21555071970 + ... + 21555072030.

Almost surely, 2^{1314859392000} is an apocalyptic number.

1314859392000 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 1314859392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117089064960).

1314859392000 is an abundant number, since it is smaller than the sum of its proper divisors (4919318737920).

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

1314859392000 is an frugal number, since it uses more digits than its factorization.

1314859392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1314859392000 in words is "one trillion, three hundred fourteen billion, eight hundred fifty-nine million, three hundred ninety-two thousand".