6354254016 has 504 divisors, whose sum is σ = 22007486592. Its totient is φ = 1743667200.

The previous prime is 6354253987. The next prime is 6354254017. The reversal of 6354254016 is 6104524536.

6354254016 is a `hidden beast` number, since 63 + 5 + 42 + 540 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6354254017) 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 71 ways as a sum of consecutive naturals, for example, 36729706 + ... + 36729878.

It is an arithmetic number, because the mean of its divisors is an integer number (43665648).

Almost surely, 2^6354254016 is an apocalyptic number.

6354254016 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 6354254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003743296).

6354254016 is an abundant number, since it is smaller than the sum of its proper divisors (15653232576).

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

6354254016 is a wasteful number, since it uses less digits than its factorization.

6354254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6354254016 is about 79713.5748539733. The cubic root of 6354254016 is about 1852.2013256344.

The spelling of 6354254016 in words is "six billion, three hundred fifty-four million, two hundred fifty-four thousand, sixteen".