1013742632448 has 1920 divisors, whose sum is σ = 4059565171200. Its totient is φ = 246809493504.

The previous prime is 1013742632443. The next prime is 1013742632449. The reversal of 1013742632448 is 8442362473101.

1013742632448 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 7 + 4 + 2 + 632 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013742632443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12213766615 + ... + 12213766697.

It is an arithmetic number, because the mean of its divisors is an integer number (2114356860).

Almost surely, 2^{1013742632448} is an apocalyptic number.

1013742632448 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 1013742632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029782585600).

1013742632448 is an abundant number, since it is smaller than the sum of its proper divisors (3045822538752).

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

1013742632448 is a wasteful number, since it uses less digits than its factorization.

1013742632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1013742632448 in words is "one trillion, thirteen billion, seven hundred forty-two million, six hundred thirty-two thousand, four hundred forty-eight".