1146405545280 has 280 divisors, whose sum is σ = 4255271298432. Its totient is φ = 292416334848.

The previous prime is 1146405545279. The next prime is 1146405545291. The reversal of 1146405545280 is 825455046411.

1146405545280 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 40 + 554 + 52 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 365332 + ... + 1557651.

Almost surely, 2^{1146405545280} is an apocalyptic number.

1146405545280 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 1146405545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127635649216).

1146405545280 is an abundant number, since it is smaller than the sum of its proper divisors (3108865753152).

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

1146405545280 is a wasteful number, since it uses less digits than its factorization.

1146405545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923035 (or 1923016 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 1146405545280 in words is "one trillion, one hundred forty-six billion, four hundred five million, five hundred forty-five thousand, two hundred eighty".