1013742895104 has 765 divisors, whose sum is σ = 3341504806563. Its totient is φ = 306210668544.

The previous prime is 1013742895093. The next prime is 1013742895141. The reversal of 1013742895104 is 4015982473101.

The square root of 1013742895104 is 1006848.

It is a perfect power (a square), and thus also a powerful number.

1013742895104 is a `hidden beast` number, since 1 + 0 + 1 + 37 + 428 + 95 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1013742895104.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44075778037 + ... + 44075778059.

Almost surely, 2^{1013742895104} is an apocalyptic number.

1013742895104 is the 1006848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013742895104

1013742895104 is an abundant number, since it is smaller than the sum of its proper divisors (2327761911459).

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

1013742895104 is an frugal number, since it uses more digits than its factorization.

1013742895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1013742895104 in words is "one trillion, thirteen billion, seven hundred forty-two million, eight hundred ninety-five thousand, one hundred four".