16045709962464 has 576 divisors, whose sum is σ = 59194059724800. Its totient is φ = 4003798450176.

The previous prime is 16045709962397. The next prime is 16045709962517. The reversal of 16045709962464 is 46426990754061.

It is a happy number.

16045709962464 is a `hidden beast` number, since 1 + 6 + 0 + 45 + 70 + 9 + 9 + 62 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382904137 + ... + 382946039.

It is an arithmetic number, because the mean of its divisors is an integer number (102767464800).

Almost surely, 2^{16045709962464} is an apocalyptic number.

16045709962464 is a gapful number since it is divisible by the number (14) 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 16045709962464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597029862400).

16045709962464 is an abundant number, since it is smaller than the sum of its proper divisors (43148349762336).

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

16045709962464 is a wasteful number, since it uses less digits than its factorization.

16045709962464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42727 (or 42716 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 16045709962464 in words is "sixteen trillion, forty-five billion, seven hundred nine million, nine hundred sixty-two thousand, four hundred sixty-four".