1148277005568 has 2592 divisors, whose sum is σ = 4813128785920. Its totient is φ = 266051174400.

The previous prime is 1148277005527. The next prime is 1148277005573. The reversal of 1148277005568 is 8655007728411.

1148277005568 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 7 + 70 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31034513646 + ... + 31034513682.

Almost surely, 2^{1148277005568} is an apocalyptic number.

1148277005568 is a gapful number since it is divisible by the number (18) 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 1148277005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406564392960).

1148277005568 is an abundant number, since it is smaller than the sum of its proper divisors (3664851780352).

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

1148277005568 is a wasteful number, since it uses less digits than its factorization.

1148277005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 1148277005568 in words is "one trillion, one hundred forty-eight billion, two hundred seventy-seven million, five thousand, five hundred sixty-eight".