1248901455960 has 256 divisors, whose sum is σ = 4238357299200. Its totient is φ = 327030566400.

The previous prime is 1248901455943. The next prime is 1248901455973. The reversal of 1248901455960 is 695541098421.

1248901455960 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 9 + 0 + 1 + 45 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1248901455897 and 1248901455906.

It is a congruent number.

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, 39973545 + ... + 40004775.

It is an arithmetic number, because the mean of its divisors is an integer number (16556083200).

Almost surely, 2^{1248901455960} is an apocalyptic number.

1248901455960 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 1248901455960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119178649600).

1248901455960 is an abundant number, since it is smaller than the sum of its proper divisors (2989455843240).

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

1248901455960 is a wasteful number, since it uses less digits than its factorization.

1248901455960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31919 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1248901455960 in words is "one trillion, two hundred forty-eight billion, nine hundred one million, four hundred fifty-five thousand, nine hundred sixty".