113267949704448 has 432 divisors, whose sum is σ = 383878659900288. Its totient is φ = 29017217433600.

The previous prime is 113267949704431. The next prime is 113267949704491. The reversal of 113267949704448 is 844407949762311.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46293568 + ... + 48678848.

Almost surely, 2^{113267949704448} 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 113267949704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191939329950144).

113267949704448 is an abundant number, since it is smaller than the sum of its proper divisors (270610710195840).

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

113267949704448 is a wasteful number, since it uses less digits than its factorization.

113267949704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385402 (or 2385377 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 113267949704448 in words is "one hundred thirteen trillion, two hundred sixty-seven billion, nine hundred forty-nine million, seven hundred four thousand, four hundred forty-eight".