16414551450 has 576 divisors, whose sum is σ = 55143970560. Its totient is φ = 3568435200.

The previous prime is 16414551449. The next prime is 16414551457. The reversal of 16414551450 is 5415541461.

16414551450 is a `hidden beast` number, since 1 + 64 + 1 + 4 + 551 + 45 + 0 = 666.

16414551450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16414551457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63869722 + ... + 63869978.

It is an arithmetic number, because the mean of its divisors is an integer number (95736060).

Almost surely, 2^16414551450 is an apocalyptic number.

16414551450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16414551450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27571985280).

16414551450 is an abundant number, since it is smaller than the sum of its proper divisors (38729419110).

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

16414551450 is a wasteful number, since it uses less digits than its factorization.

16414551450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 16414551450 in words is "sixteen billion, four hundred fourteen million, five hundred fifty-one thousand, four hundred fifty".