1348377600000 has 672 divisors, whose sum is σ = 4565445105312. Its totient is φ = 353894400000.

The previous prime is 1348377599977. The next prime is 1348377600001. The reversal of 1348377600000 is 67738431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348377600001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7449599910 + ... + 7449600090.

It is an arithmetic number, because the mean of its divisors is an integer number (6793817121).

Almost surely, 2^{1348377600000} is an apocalyptic number.

1348377600000 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 1348377600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282722552656).

1348377600000 is an abundant number, since it is smaller than the sum of its proper divisors (3217067505312).

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

1348377600000 is an frugal number, since it uses more digits than its factorization.

1348377600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 1348377600000 in words is "one trillion, three hundred forty-eight billion, three hundred seventy-seven million, six hundred thousand".