16440153345 has 96 divisors (see below), whose sum is σ = 35622063360. Its totient is φ = 6814149120.

The previous prime is 16440153343. The next prime is 16440153377. The reversal of 16440153345 is 54335104461.

16440153345 is a `hidden beast` number, since 1 + 644 + 0 + 1 + 5 + 3 + 3 + 4 + 5 = 666.

16440153345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16440153345 - 2¹ = 16440153343 is a prime.

It is a super-3 number, since 3×16440153345³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16440153343) 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 95 ways as a sum of consecutive naturals, for example, 1341787 + ... + 1353983.

It is an arithmetic number, because the mean of its divisors is an integer number (371063160).

Almost surely, 2^16440153345 is an apocalyptic number.

16440153345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16440153345 is an abundant number, since it is smaller than the sum of its proper divisors (19181910015).

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

16440153345 is a wasteful number, since it uses less digits than its factorization.

16440153345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12612 counting only the distinct ones).

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

The spelling of 16440153345 in words is "sixteen billion, four hundred forty million, one hundred fifty-three thousand, three hundred forty-five".