1248141664 has 48 divisors (see below), whose sum is σ = 3063626496. Its totient is φ = 486288000.

The previous prime is 1248141577. The next prime is 1248141709. The reversal of 1248141664 is 4661418421.

It is a super-2 number, since 2×1248141664² = 3115715226825377792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250812 + ... + 255739.

It is an arithmetic number, because the mean of its divisors is an integer number (63825552).

Almost surely, 2^1248141664 is an apocalyptic number.

1248141664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1248141664 is an abundant number, since it is smaller than the sum of its proper divisors (1815484832).

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

1248141664 is a wasteful number, since it uses less digits than its factorization.

1248141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506579 (or 506571 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 1248141664 is about 35329.0484445874. The cubic root of 1248141664 is about 1076.6832584526.

It can be divided in two parts, 12481 and 41664, that added together give a palindrome (54145).

The spelling of 1248141664 in words is "one billion, two hundred forty-eight million, one hundred forty-one thousand, six hundred sixty-four".