1148860106640 has 640 divisors, whose sum is σ = 4209766748160. Its totient is φ = 287550259200.

The previous prime is 1148860106633. The next prime is 1148860106699. The reversal of 1148860106640 is 466010688411.

1148860106640 is a `hidden beast` number, since 1 + 1 + 488 + 6 + 0 + 106 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 298170954 + ... + 298174806.

It is an arithmetic number, because the mean of its divisors is an integer number (6577760544).

Almost surely, 2^{1148860106640} is an apocalyptic number.

1148860106640 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 1148860106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104883374080).

1148860106640 is an abundant number, since it is smaller than the sum of its proper divisors (3060906641520).

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

1148860106640 is a wasteful number, since it uses less digits than its factorization.

1148860106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1148860106640 in words is "one trillion, one hundred forty-eight billion, eight hundred sixty million, one hundred six thousand, six hundred forty".