1346492160000 has 1920 divisors, whose sum is σ = 5580722347200. Its totient is φ = 322486272000.

The previous prime is 1346492159981. The next prime is 1346492160007. The reversal of 1346492160000 is 612946431.

1346492160000 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 49 + 2 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1346492160000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346492160007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36391679982 + ... + 36391680018.

Almost surely, 2^{1346492160000} is an apocalyptic number.

1346492160000 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 1346492160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790361173600).

1346492160000 is an abundant number, since it is smaller than the sum of its proper divisors (4234230187200).

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

1346492160000 is an frugal number, since it uses more digits than its factorization.

1346492160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1346492160000 in words is "one trillion, three hundred forty-six billion, four hundred ninety-two million, one hundred sixty thousand".