1146146319360 has 1056 divisors, whose sum is σ = 4757055593472. Its totient is φ = 259183411200.

The previous prime is 1146146319319. The next prime is 1146146319413. The reversal of 1146146319360 is 639136416411.

1146146319360 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 4 + 631 + 9 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×1146146319360² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879620469 + ... + 879621771.

Almost surely, 2^{1146146319360} is an apocalyptic number.

1146146319360 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 1146146319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378527796736).

1146146319360 is an abundant number, since it is smaller than the sum of its proper divisors (3610909274112).

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

1146146319360 is a wasteful number, since it uses less digits than its factorization.

1146146319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1146146319360 in words is "one trillion, one hundred forty-six billion, one hundred forty-six million, three hundred nineteen thousand, three hundred sixty".