1146611223240 has 512 divisors, whose sum is σ = 4221932544000. Its totient is φ = 243397287936.

The previous prime is 1146611223227. The next prime is 1146611223253. The reversal of 1146611223240 is 423221166411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1146611223227) and next prime (1146611223253).

It is a super-3 number, since 3×1146611223240³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406742551 + ... + 406745369.

It is an arithmetic number, because the mean of its divisors is an integer number (8245962000).

Almost surely, 2^{1146611223240} is an apocalyptic number.

1146611223240 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 1146611223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110966272000).

1146611223240 is an abundant number, since it is smaller than the sum of its proper divisors (3075321320760).

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

1146611223240 is a wasteful number, since it uses less digits than its factorization.

1146611223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 1146611223240 its reverse (423221166411), we get a palindrome (1569832389651).

The spelling of 1146611223240 in words is "one trillion, one hundred forty-six billion, six hundred eleven million, two hundred twenty-three thousand, two hundred forty".