1218602361600 has 2160 divisors, whose sum is σ = 5289646996480. Its totient is φ = 274113331200.

The previous prime is 1218602361527. The next prime is 1218602361607. The reversal of 1218602361600 is 61632068121.

It is a happy number.

1218602361600 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 602 + 36 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (1218602361607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3969388647 + ... + 3969388953.

Almost surely, 2^{1218602361600} is an apocalyptic number.

1218602361600 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 1218602361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644823498240).

1218602361600 is an abundant number, since it is smaller than the sum of its proper divisors (4071044634880).

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

1218602361600 is a wasteful number, since it uses less digits than its factorization.

1218602361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1218602361600 in words is "one trillion, two hundred eighteen billion, six hundred two million, three hundred sixty-one thousand, six hundred".