1349448125076 has 480 divisors, whose sum is σ = 3862072811520. Its totient is φ = 409718808576.

The previous prime is 1349448125063. The next prime is 1349448125083. The reversal of 1349448125076 is 6705218449431.

1349448125076 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 448 + 125 + 0 + 76 = 666.

It is a super-2 number, since 2×1349448125076² (a number of 25 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 3116508156 + ... + 3116508588.

It is an arithmetic number, because the mean of its divisors is an integer number (8045985024).

It is a 1-persistent number, because it is pandigital, but 2⋅1349448125076 = 2698896250152 is not.

Almost surely, 2^{1349448125076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349448125076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931036405760).

1349448125076 is an abundant number, since it is smaller than the sum of its proper divisors (2512624686444).

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

1349448125076 is a wasteful number, since it uses less digits than its factorization.

1349448125076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1349448125076 in words is "one trillion, three hundred forty-nine billion, four hundred forty-eight million, one hundred twenty-five thousand, seventy-six".