1134160392960 has 864 divisors, whose sum is σ = 4676586969600. Its totient is φ = 257797914624.

The previous prime is 1134160392949. The next prime is 1134160392979. The reversal of 1134160392960 is 692930614311.

1134160392960 is a `hidden beast` number, since 1 + 1 + 34 + 1 + 603 + 9 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420213691 + ... + 420216389.

It is an arithmetic number, because the mean of its divisors is an integer number (5412716400).

Almost surely, 2^{1134160392960} is an apocalyptic number.

1134160392960 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 1134160392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338293484800).

1134160392960 is an abundant number, since it is smaller than the sum of its proper divisors (3542426576640).

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

1134160392960 is an equidigital number, since it uses as much as digits as its factorization.

1134160392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1134160392960 in words is "one trillion, one hundred thirty-four billion, one hundred sixty million, three hundred ninety-two thousand, nine hundred sixty".