1349146925280 has 2304 divisors, whose sum is σ = 6443268249600. Its totient is φ = 263363788800.

The previous prime is 1349146925279. The next prime is 1349146925327. The reversal of 1349146925280 is 825296419431.

It is a happy number.

1349146925280 is a `hidden beast` number, since 1 + 3 + 49 + 14 + 69 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2493801810 + ... + 2493802350.

It is an arithmetic number, because the mean of its divisors is an integer number (2796557400).

Almost surely, 2^{1349146925280} is an apocalyptic number.

1349146925280 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 1349146925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221634124800).

1349146925280 is an abundant number, since it is smaller than the sum of its proper divisors (5094121324320).

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

1349146925280 is a wasteful number, since it uses less digits than its factorization.

1349146925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1349146925280 in words is "one trillion, three hundred forty-nine billion, one hundred forty-six million, nine hundred twenty-five thousand, two hundred eighty".