1013629574448 has 240 divisors, whose sum is σ = 3022616064000. Its totient is φ = 316531100160.

The previous prime is 1013629574389. The next prime is 1013629574533. The reversal of 1013629574448 is 8444759263101.

1013629574448 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 29 + 574 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1013629574394 and 1013629574403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32853013 + ... + 32883851.

It is an arithmetic number, because the mean of its divisors is an integer number (12594233600).

It is a 1-persistent number, because it is pandigital, but 2⋅1013629574448 = 2027259148896 is not.

Almost surely, 2^{1013629574448} is an apocalyptic number.

1013629574448 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 1013629574448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511308032000).

1013629574448 is an abundant number, since it is smaller than the sum of its proper divisors (2008986489552).

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

1013629574448 is a wasteful number, since it uses less digits than its factorization.

1013629574448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31120 (or 31111 counting only the distinct ones).

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

The spelling of 1013629574448 in words is "one trillion, thirteen billion, six hundred twenty-nine million, five hundred seventy-four thousand, four hundred forty-eight".