614988889416 has 192 divisors, whose sum is σ = 1845282816000. Its totient is φ = 183464265600.

The previous prime is 614988889397. The next prime is 614988889423.

614988889416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×614988889416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127298121 + ... + 127302951.

It is an arithmetic number, because the mean of its divisors is an integer number (9610848000).

Almost surely, 2^614988889416 is an apocalyptic number.

614988889416 is a gapful number since it is divisible by the number (66) 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 614988889416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922641408000).

614988889416 is an abundant number, since it is smaller than the sum of its proper divisors (1230293926584).

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

614988889416 is a wasteful number, since it uses less digits than its factorization.

614988889416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7313 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 614988889416 in words is "six hundred fourteen billion, nine hundred eighty-eight million, eight hundred eighty-nine thousand, four hundred sixteen".