1048648149120 has 512 divisors, whose sum is σ = 3932193807360. Its totient is φ = 234348134400.

The previous prime is 1048648149071. The next prime is 1048648149139. The reversal of 1048648149120 is 219418468401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1048648149120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249023815 + ... + 249028025.

It is an arithmetic number, because the mean of its divisors is an integer number (7680066030).

Almost surely, 2^{1048648149120} is an apocalyptic number.

1048648149120 is a gapful number since it is divisible by the number (10) 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 1048648149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966096903680).

1048648149120 is an abundant number, since it is smaller than the sum of its proper divisors (2883545658240).

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

1048648149120 is a wasteful number, since it uses less digits than its factorization.

1048648149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1048648149120 in words is "one trillion, forty-eight billion, six hundred forty-eight million, one hundred forty-nine thousand, one hundred twenty".