1118615961600 has 510 divisors, whose sum is σ = 4144586916030. Its totient is φ = 298262200320.

The previous prime is 1118615961587. The next prime is 1118615961611. The reversal of 1118615961600 is 61695168111.

1118615961600 is a `hidden beast` number, since 1 + 1 + 18 + 6 + 15 + 9 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5101387776 + 1113514573824 = 71424^2 + 1055232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 132706186 + ... + 132714614.

Almost surely, 2^{1118615961600} is an apocalyptic number.

1118615961600 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 1118615961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072293458015).

1118615961600 is an abundant number, since it is smaller than the sum of its proper divisors (3025970954430).

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

1118615961600 is an frugal number, since it uses more digits than its factorization.

1118615961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1118615961600 in words is "one trillion, one hundred eighteen billion, six hundred fifteen million, nine hundred sixty-one thousand, six hundred".