1348164746880 has 768 divisors, whose sum is σ = 5444247029760. Its totient is φ = 277397176320.

The previous prime is 1348164746861. The next prime is 1348164746891. The reversal of 1348164746880 is 886474618431.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 89328135 + ... + 89343225.

It is an arithmetic number, because the mean of its divisors is an integer number (7088863320).

Almost surely, 2^{1348164746880} is an apocalyptic number.

1348164746880 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 1348164746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722123514880).

1348164746880 is an abundant number, since it is smaller than the sum of its proper divisors (4096082282880).

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

1348164746880 is a wasteful number, since it uses less digits than its factorization.

1348164746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 1348164746880 in words is "one trillion, three hundred forty-eight billion, one hundred sixty-four million, seven hundred forty-six thousand, eight hundred eighty".