1348617682944 has 1080 divisors, whose sum is σ = 4873162764288. Its totient is φ = 371217530880.

The previous prime is 1348617682939. The next prime is 1348617682987. The reversal of 1348617682944 is 4492867168431.

1348617682944 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 617 + 6 + 8 + 2 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6047612817 + ... + 6047613039.

Almost surely, 2^{1348617682944} is an apocalyptic number.

1348617682944 is a gapful number since it is divisible by the number (14) 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 1348617682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436581382144).

1348617682944 is an abundant number, since it is smaller than the sum of its proper divisors (3524545081344).

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

1348617682944 is an frugal number, since it uses more digits than its factorization.

1348617682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 266 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1348617682944 in words is "one trillion, three hundred forty-eight billion, six hundred seventeen million, six hundred eighty-two thousand, nine hundred forty-four".