1146434602560 has 896 divisors, whose sum is σ = 4172051681280. Its totient is φ = 264605958144.

The previous prime is 1146434602559. The next prime is 1146434602591. The reversal of 1146434602560 is 652064346411.

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, 5006264526 + ... + 5006264754.

It is an arithmetic number, because the mean of its divisors is an integer number (4656307680).

Almost surely, 2^{1146434602560} is an apocalyptic number.

1146434602560 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 1146434602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086025840640).

1146434602560 is an abundant number, since it is smaller than the sum of its proper divisors (3025617078720).

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

1146434602560 is a wasteful number, since it uses less digits than its factorization.

1146434602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 1146434602560 its reverse (652064346411), we get a palindrome (1798498948971).

The spelling of 1146434602560 in words is "one trillion, one hundred forty-six billion, four hundred thirty-four million, six hundred two thousand, five hundred sixty".