5514216873984 has 896 divisors, whose sum is σ = 21167360256000. Its totient is φ = 1377661353984.

The previous prime is 5514216873943. The next prime is 5514216873989. The reversal of 5514216873984 is 4893786124155.

It is a happy number.

5514216873984 is a `hidden beast` number, since 5 + 5 + 1 + 421 + 68 + 73 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5514216873989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382419927 + ... + 382434345.

It is an arithmetic number, because the mean of its divisors is an integer number (23624286000).

Almost surely, 2^{5514216873984} is an apocalyptic number.

5514216873984 is a gapful number since it is divisible by the number (54) 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 5514216873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583680128000).

5514216873984 is an abundant number, since it is smaller than the sum of its proper divisors (15653143382016).

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

5514216873984 is a wasteful number, since it uses less digits than its factorization.

5514216873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493 (or 14463 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 5514216873984 in words is "five trillion, five hundred fourteen billion, two hundred sixteen million, eight hundred seventy-three thousand, nine hundred eighty-four".