1136771223840 has 672 divisors, whose sum is σ = 4872573014400. Its totient is φ = 244546117632.

The previous prime is 1136771223839. The next prime is 1136771223853. The reversal of 1136771223840 is 483221776311.

1136771223840 is a `hidden beast` number, since 1 + 1 + 367 + 7 + 12 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 13839211 + ... + 13921109.

It is an arithmetic number, because the mean of its divisors is an integer number (7250852700).

Almost surely, 2^{1136771223840} is an apocalyptic number.

1136771223840 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 1136771223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436286507200).

1136771223840 is an abundant number, since it is smaller than the sum of its proper divisors (3735801790560).

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

1136771223840 is an equidigital number, since it uses as much as digits as its factorization.

1136771223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81956 (or 81933 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1136771223840 in words is "one trillion, one hundred thirty-six billion, seven hundred seventy-one million, two hundred twenty-three thousand, eight hundred forty".