16442301456 has 240 divisors, whose sum is σ = 56910357504. Its totient is φ = 4493377152.

The previous prime is 16442301439. The next prime is 16442301487. The reversal of 16442301456 is 65410324461.

16442301456 is a `hidden beast` number, since 1 + 644 + 2 + 3 + 0 + 1 + 4 + 5 + 6 = 666.

It is a super-3 number, since 3×16442301456³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16442301456.

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 47 ways as a sum of consecutive naturals, for example, 612835 + ... + 639101.

Almost surely, 2^16442301456 is an apocalyptic number.

16442301456 is a gapful number since it is divisible by the number (16) 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 16442301456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28455178752).

16442301456 is an abundant number, since it is smaller than the sum of its proper divisors (40468056048).

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

16442301456 is a wasteful number, since it uses less digits than its factorization.

16442301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26320 (or 26302 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16442301456 in words is "sixteen billion, four hundred forty-two million, three hundred one thousand, four hundred fifty-six".