1125418904064 has 1800 divisors, whose sum is σ = 4415837217660. Its totient is φ = 284042723328.

The previous prime is 1125418904063. The next prime is 1125418904111. The reversal of 1125418904064 is 4604098145211.

1125418904064 is a `hidden beast` number, since 1 + 1 + 2 + 541 + 8 + 9 + 0 + 40 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7341062400 + 1118077841664 = 85680^2 + 1057392^2 .

It is a super-2 number, since 2×1125418904064² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125418904063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9959459272 + ... + 9959459384.

Almost surely, 2^{1125418904064} is an apocalyptic number.

1125418904064 is a gapful number since it is divisible by the number (14) 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 1125418904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207918608830).

1125418904064 is an abundant number, since it is smaller than the sum of its proper divisors (3290418313596).

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

1125418904064 is a wasteful number, since it uses less digits than its factorization.

1125418904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1125418904064 in words is "one trillion, one hundred twenty-five billion, four hundred eighteen million, nine hundred four thousand, sixty-four".