1113164766000 has 480 divisors, whose sum is σ = 4447851652608. Its totient is φ = 254178777600.

The previous prime is 1113164765969. The next prime is 1113164766011. The reversal of 1113164766000 is 6674613111.

1113164766000 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 6 + 47 + 6 + 600 + 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 95 ways as a sum of consecutive naturals, for example, 141494067 + ... + 141501933.

Almost surely, 2^{1113164766000} is an apocalyptic number.

1113164766000 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 1113164766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223925826304).

1113164766000 is an abundant number, since it is smaller than the sum of its proper divisors (3334686886608).

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

1113164766000 is a wasteful number, since it uses less digits than its factorization.

1113164766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9026 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1113164766000 in words is "one trillion, one hundred thirteen billion, one hundred sixty-four million, seven hundred sixty-six thousand".