1092041720064 has 567 divisors, whose sum is σ = 3407628691789. Its totient is φ = 349116272640.

The previous prime is 1092041720051. The next prime is 1092041720069. The reversal of 1092041720064 is 4600271402901.

It is a happy number.

The square root of 1092041720064 is 1045008.

It is a perfect power (a square), and thus also a powerful number.

1092041720064 is a `hidden beast` number, since 10 + 9 + 20 + 417 + 200 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52620689664 + 1039421030400 = 229392^2 + 1019520^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1092041720069) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18509181667 + ... + 18509181725.

Almost surely, 2^{1092041720064} is an apocalyptic number.

1092041720064 is the 1045008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092041720064

1092041720064 is an abundant number, since it is smaller than the sum of its proper divisors (2315586971725).

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

1092041720064 is an frugal number, since it uses more digits than its factorization.

1092041720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 1092041720064 by its sum of digits (36), we get a square (39313501922304 = 6270048²).

1092041720064 divided by its sum of digits (36) gives a square (30334492224 = 174168²).

The spelling of 1092041720064 in words is "one trillion, ninety-two billion, forty-one million, seven hundred twenty thousand, sixty-four".