1112161674240 has 1760 divisors, whose sum is σ = 4508299699200. Its totient is φ = 260855562240.

The previous prime is 1112161674233. The next prime is 1112161674307. The reversal of 1112161674240 is 424761612111.

1112161674240 is a `hidden beast` number, since 1 + 1 + 1 + 216 + 16 + 7 + 424 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1112161674195 and 1112161674204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7083832242 + ... + 7083832398.

It is an arithmetic number, because the mean of its divisors is an integer number (2561533920).

Almost surely, 2^{1112161674240} is an apocalyptic number.

1112161674240 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 1112161674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254149849600).

1112161674240 is an abundant number, since it is smaller than the sum of its proper divisors (3396138024960).

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

1112161674240 is a wasteful number, since it uses less digits than its factorization.

1112161674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1112161674240 in words is "one trillion, one hundred twelve billion, one hundred sixty-one million, six hundred seventy-four thousand, two hundred forty".