1110645164160 has 3072 divisors, whose sum is σ = 5304600576000. Its totient is φ = 217379635200.

The previous prime is 1110645164051. The next prime is 1110645164183. The reversal of 1110645164160 is 614615460111.

1110645164160 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 6 + 4 + 5 + 1 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8478207295 + ... + 8478207425.

It is an arithmetic number, because the mean of its divisors is an integer number (1726758000).

Almost surely, 2^{1110645164160} is an apocalyptic number.

1110645164160 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 1110645164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652300288000).

1110645164160 is an abundant number, since it is smaller than the sum of its proper divisors (4193955411840).

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

1110645164160 is a wasteful number, since it uses less digits than its factorization.

1110645164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1110645164160 in words is "one trillion, one hundred ten billion, six hundred forty-five million, one hundred sixty-four thousand, one hundred sixty".