1048883629248 has 1008 divisors, whose sum is σ = 3930992432640. Its totient is φ = 274849376256.

The previous prime is 1048883629231. The next prime is 1048883629303. The reversal of 1048883629248 is 8429263888401.

1048883629248 is a `hidden beast` number, since 1 + 0 + 488 + 8 + 3 + 62 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1048883629248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 2367682915 + ... + 2367683357.

It is an arithmetic number, because the mean of its divisors is an integer number (3899794080).

Almost surely, 2^{1048883629248} is an apocalyptic number.

1048883629248 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 1048883629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965496216320).

1048883629248 is an abundant number, since it is smaller than the sum of its proper divisors (2882108803392).

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

1048883629248 is a wasteful number, since it uses less digits than its factorization.

1048883629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1048883629248 in words is "one trillion, forty-eight billion, eight hundred eighty-three million, six hundred twenty-nine thousand, two hundred forty-eight".