1349561928960 has 864 divisors, whose sum is σ = 5570350007040. Its totient is φ = 295140851712.

The previous prime is 1349561928947. The next prime is 1349561929021. The reversal of 1349561928960 is 698291659431.

1349561928960 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 5 + 619 + 2 + 8 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 264254727 + ... + 264259833.

It is an arithmetic number, because the mean of its divisors is an integer number (6447164360).

Almost surely, 2^{1349561928960} is an apocalyptic number.

1349561928960 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 1349561928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785175003520).

1349561928960 is an abundant number, since it is smaller than the sum of its proper divisors (4220788078080).

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

1349561928960 is a wasteful number, since it uses less digits than its factorization.

1349561928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1349561928960 in words is "one trillion, three hundred forty-nine billion, five hundred sixty-one million, nine hundred twenty-eight thousand, nine hundred sixty".