1013905694448 has 120 divisors (see below), whose sum is σ = 2917095008256. Its totient is φ = 328586832000.

The previous prime is 1013905694437. The next prime is 1013905694453. The reversal of 1013905694448 is 8444965093101.

1013905694448 is a `hidden beast` number, since 1 + 0 + 1 + 39 + 0 + 569 + 4 + 4 + 48 = 666.

It is a super-2 number, since 2×1013905694448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013905694394 and 1013905694403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525913 + ... + 1518023.

Almost surely, 2^{1013905694448} is an apocalyptic number.

1013905694448 is a gapful number since it is divisible by the number (18) 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 1013905694448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458547504128).

1013905694448 is an abundant number, since it is smaller than the sum of its proper divisors (1903189313808).

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

1013905694448 is a wasteful number, since it uses less digits than its factorization.

1013905694448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992323 (or 992314 counting only the distinct ones).

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

The spelling of 1013905694448 in words is "one trillion, thirteen billion, nine hundred five million, six hundred ninety-four thousand, four hundred forty-eight".