1048237242624 has 1728 divisors, whose sum is σ = 4011258101760. Its totient is φ = 258095185920.

The previous prime is 1048237242589. The next prime is 1048237242643. The reversal of 1048237242624 is 4262427328401.

1048237242624 is a `hidden beast` number, since 1 + 0 + 482 + 3 + 72 + 42 + 62 + 4 = 666.

1048237242624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1048237242624.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10177060557 + ... + 10177060659.

It is an arithmetic number, because the mean of its divisors is an integer number (2321329920).

Almost surely, 2^{1048237242624} 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 1048237242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005629050880).

1048237242624 is an abundant number, since it is smaller than the sum of its proper divisors (2963020859136).

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

1048237242624 is a wasteful number, since it uses less digits than its factorization.

1048237242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 1048237242624 in words is "one trillion, forty-eight billion, two hundred thirty-seven million, two hundred forty-two thousand, six hundred twenty-four".