1349183142000 has 480 divisors, whose sum is σ = 4902122744064. Its totient is φ = 358652448000.

The previous prime is 1349183141993. The next prime is 1349183142061. The reversal of 1349183142000 is 2413819431.

1349183142000 is a `hidden beast` number, since 13 + 49 + 183 + 1 + 420 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160861807 + ... + 160870193.

Almost surely, 2^{1349183142000} is an apocalyptic number.

1349183142000 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 1349183142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451061372032).

1349183142000 is an abundant number, since it is smaller than the sum of its proper divisors (3552939602064).

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

1349183142000 is an equidigital number, since it uses as much as digits as its factorization.

1349183142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1349183142000 in words is "one trillion, three hundred forty-nine billion, one hundred eighty-three million, one hundred forty-two thousand".