1145778918480 has 1280 divisors, whose sum is σ = 4822971310080. Its totient is φ = 244552089600.

The previous prime is 1145778918469. The next prime is 1145778918509. The reversal of 1145778918480 is 848198775411.

1145778918480 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 77 + 89 + 1 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1412797275 + ... + 1412798085.

It is an arithmetic number, because the mean of its divisors is an integer number (3767946336).

Almost surely, 2^{1145778918480} is an apocalyptic number.

1145778918480 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 1145778918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411485655040).

1145778918480 is an abundant number, since it is smaller than the sum of its proper divisors (3677192391600).

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

1145778918480 is a wasteful number, since it uses less digits than its factorization.

1145778918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 1145778918480 in words is "one trillion, one hundred forty-five billion, seven hundred seventy-eight million, nine hundred eighteen thousand, four hundred eighty".