1149966170496 has 1024 divisors, whose sum is σ = 4215456000000. Its totient is φ = 307436912640.

The previous prime is 1149966170471. The next prime is 1149966170513. The reversal of 1149966170496 is 6940716699411.

1149966170496 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 9 + 6 + 617 + 0 + 4 + 9 + 6 = 666.

It is a congruent number.

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, 920708880 + ... + 920710128.

It is an arithmetic number, because the mean of its divisors is an integer number (4116656250).

Almost surely, 2^{1149966170496} is an apocalyptic number.

1149966170496 is a gapful number since it is divisible by the number (16) 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 1149966170496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107728000000).

1149966170496 is an abundant number, since it is smaller than the sum of its proper divisors (3065489829504).

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

1149966170496 is a wasteful number, since it uses less digits than its factorization.

1149966170496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1149966170496 in words is "one trillion, one hundred forty-nine billion, nine hundred sixty-six million, one hundred seventy thousand, four hundred ninety-six".