1148503661280 has 384 divisors, whose sum is σ = 4278899520000. Its totient is φ = 286886375424.

The previous prime is 1148503661273. The next prime is 1148503661281. The reversal of 1148503661280 is 821663058411.

1148503661280 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 0 + 366 + 1 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148503661281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7226511 + ... + 7383729.

It is an arithmetic number, because the mean of its divisors is an integer number (11142967500).

Almost surely, 2^{1148503661280} is an apocalyptic number.

1148503661280 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 1148503661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139449760000).

1148503661280 is an abundant number, since it is smaller than the sum of its proper divisors (3130395858720).

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

1148503661280 is a wasteful number, since it uses less digits than its factorization.

1148503661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157351 (or 157337 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1148503661280 in words is "one trillion, one hundred forty-eight billion, five hundred three million, six hundred sixty-one thousand, two hundred eighty".