16429493491488 has 384 divisors, whose sum is σ = 59993644032000. Its totient is φ = 4249541560320.

The previous prime is 16429493491469. The next prime is 16429493491501. The reversal of 16429493491488 is 88419439492461.

16429493491488 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 9 + 4 + 93 + 491 + 48 + 8 = 666.

16429493491488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15383548 + ... + 16416836.

It is an arithmetic number, because the mean of its divisors is an integer number (156233448000).

Almost surely, 2^{16429493491488} is an apocalyptic number.

16429493491488 is a gapful number since it is divisible by the number (18) 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 16429493491488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29996822016000).

16429493491488 is an abundant number, since it is smaller than the sum of its proper divisors (43564150540512).

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

16429493491488 is a wasteful number, since it uses less digits than its factorization.

16429493491488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033565 (or 1033551 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 16429493491488 in words is "sixteen trillion, four hundred twenty-nine billion, four hundred ninety-three million, four hundred ninety-one thousand, four hundred eighty-eight".