1349517312000 has 1152 divisors, whose sum is σ = 5716064259360. Its totient is φ = 301989888000.

The previous prime is 1349517311999. The next prime is 1349517312037. The reversal of 1349517312000 is 2137159431.

1349517312000 is a `hidden beast` number, since 13 + 4 + 9 + 517 + 3 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 16000 × 14976 × 5632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103809023994 + ... + 103809024006.

Almost surely, 2^{1349517312000} is an apocalyptic number.

1349517312000 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 1349517312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858032129680).

1349517312000 is an abundant number, since it is smaller than the sum of its proper divisors (4366546947360).

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

1349517312000 is an frugal number, since it uses more digits than its factorization.

1349517312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1349517312000 in words is "one trillion, three hundred forty-nine billion, five hundred seventeen million, three hundred twelve thousand".