1146861656640 has 336 divisors, whose sum is σ = 4565331463680. Its totient is φ = 258821222400.

The previous prime is 1146861656627. The next prime is 1146861656671. The reversal of 1146861656640 is 466561686411.

1146861656640 is a `hidden beast` number, since 1 + 1 + 4 + 68 + 6 + 16 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232590 + ... + 1952690.

Almost surely, 2^{1146861656640} is an apocalyptic number.

1146861656640 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 1146861656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282665731840).

1146861656640 is an abundant number, since it is smaller than the sum of its proper divisors (3418469807040).

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

1146861656640 is a wasteful number, since it uses less digits than its factorization.

1146861656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720210 (or 720197 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1146861656640 in words is "one trillion, one hundred forty-six billion, eight hundred sixty-one million, six hundred fifty-six thousand, six hundred forty".