1194561561600 has 2079 divisors, whose sum is σ = 5101248390049. Its totient is φ = 276999782400.

The previous prime is 1194561561587. The next prime is 1194561561631. The reversal of 1194561561600 is 61651654911.

The square root of 1194561561600 is 1092960.

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

1194561561600 is a `hidden beast` number, since 1 + 19 + 4 + 5 + 6 + 15 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 430042162176 + 764519399424 = 655776^2 + 874368^2 .

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 188 ways as a sum of consecutive naturals, for example, 51937459189 + ... + 51937459211.

Almost surely, 2^{1194561561600} is an apocalyptic number.

1194561561600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1194561561600 is the 1092960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1194561561600

1194561561600 is an abundant number, since it is smaller than the sum of its proper divisors (3906686828449).

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

1194561561600 is an equidigital number, since it uses as much as digits as its factorization.

1194561561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1194561561600 in words is "one trillion, one hundred ninety-four billion, five hundred sixty-one million, five hundred sixty-one thousand, six hundred".