1348072101792 has 288 divisors, whose sum is σ = 4264180816896. Its totient is φ = 401172480000.

The previous prime is 1348072101791. The next prime is 1348072101809. The reversal of 1348072101792 is 2971012708431.

1348072101792 is a `hidden beast` number, since 1 + 3 + 480 + 72 + 1 + 0 + 17 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1348072101792² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1348072101791) 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, 336931792 + ... + 336935792.

It is an arithmetic number, because the mean of its divisors is an integer number (14806183392).

Almost surely, 2^{1348072101792} is an apocalyptic number.

1348072101792 is a gapful number since it is divisible by the number (12) 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 1348072101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132090408448).

1348072101792 is an abundant number, since it is smaller than the sum of its proper divisors (2916108715104).

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

1348072101792 is a wasteful number, since it uses less digits than its factorization.

1348072101792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1348072101792 in words is "one trillion, three hundred forty-eight billion, seventy-two million, one hundred one thousand, seven hundred ninety-two".