1254117648 has 160 divisors (see below), whose sum is σ = 4023869440. Its totient is φ = 328458240.

The previous prime is 1254117647. The next prime is 1254117649. The reversal of 1254117648 is 8467114521.

It is an interprime number because it is at equal distance from previous prime (1254117647) and next prime (1254117649).

It is a super-2 number, since 2×1254117648² = 3145622150050103808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1254117647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194736 + ... + 201072.

It is an arithmetic number, because the mean of its divisors is an integer number (25149184).

Almost surely, 2^1254117648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011934720).

1254117648 is an abundant number, since it is smaller than the sum of its proper divisors (2769751792).

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

1254117648 is a wasteful number, since it uses less digits than its factorization.

1254117648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6399 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1254117648 is about 35413.5235185656. The cubic root of 1254117648 is about 1078.3988757557.

The spelling of 1254117648 in words is "one billion, two hundred fifty-four million, one hundred seventeen thousand, six hundred forty-eight".