1248762963840 has 512 divisors, whose sum is σ = 4602232166400. Its totient is φ = 282110459904.

The previous prime is 1248762963809. The next prime is 1248762963961. The reversal of 1248762963840 is 483692678421.

It is a super-2 number, since 2×1248762963840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666717144 + ... + 666719016.

It is an arithmetic number, because the mean of its divisors is an integer number (8988734700).

Almost surely, 2^{1248762963840} is an apocalyptic number.

1248762963840 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 1248762963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301116083200).

1248762963840 is an abundant number, since it is smaller than the sum of its proper divisors (3353469202560).

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

1248762963840 is a wasteful number, since it uses less digits than its factorization.

1248762963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 1248762963840 in words is "one trillion, two hundred forty-eight billion, seven hundred sixty-two million, nine hundred sixty-three thousand, eight hundred forty".