1216553850624 has 144 divisors (see below), whose sum is σ = 3703377413120. Its totient is φ = 347302563840.

The previous prime is 1216553850619. The next prime is 1216553850641. The reversal of 1216553850624 is 4260583556121.

It is a Cunningham number, because it is equal to 1102975²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6525942 + ... + 6709770.

Almost surely, 2^{1216553850624} is an apocalyptic number.

1216553850624 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 1216553850624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851688706560).

1216553850624 is an abundant number, since it is smaller than the sum of its proper divisors (2486823562496).

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

1216553850624 is a wasteful number, since it uses less digits than its factorization.

1216553850624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185086 (or 185072 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 1216553850624 in words is "one trillion, two hundred sixteen billion, five hundred fifty-three million, eight hundred fifty thousand, six hundred twenty-four".