1001379248658 has 48 divisors (see below), whose sum is σ = 2287377817920. Its totient is φ = 315736200288.

The previous prime is 1001379248657. The next prime is 1001379248693. The reversal of 1001379248658 is 8568429731001.

1001379248658 is a `hidden beast` number, since 10 + 0 + 13 + 7 + 92 + 486 + 58 = 666.

1001379248658 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001379248657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041485 + ... + 2484032.

It is an arithmetic number, because the mean of its divisors is an integer number (47653704540).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1001379248658 = 2002758497316, but 3⋅1001379248658 = 3004137745974 is not.

Almost surely, 2^{1001379248658} is an apocalyptic number.

1001379248658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1001379248658 is an abundant number, since it is smaller than the sum of its proper divisors (1285998569262).

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

1001379248658 is a wasteful number, since it uses less digits than its factorization.

1001379248658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526191 (or 4526188 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1001379248658 in words is "one trillion, one billion, three hundred seventy-nine million, two hundred forty-eight thousand, six hundred fifty-eight".