1216494465600 has 336 divisors, whose sum is σ = 4104250311168. Its totient is φ = 315225538560.

The previous prime is 1216494465587. The next prime is 1216494465607. The reversal of 1216494465600 is 65644946121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1216494465600.

It is not an unprimeable number, because it can be changed into a prime (1216494465607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153264832 + ... + 153272768.

It is an arithmetic number, because the mean of its divisors is an integer number (12215030688).

Almost surely, 2^{1216494465600} is an apocalyptic number.

1216494465600 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 1216494465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052125155584).

1216494465600 is an abundant number, since it is smaller than the sum of its proper divisors (2887755845568).

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

1216494465600 is a wasteful number, since it uses less digits than its factorization.

1216494465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1216494465600 in words is "one trillion, two hundred sixteen billion, four hundred ninety-four million, four hundred sixty-five thousand, six hundred".