16000029629472 has 192 divisors, whose sum is σ = 48995486668800. Its totient is φ = 4569962003712.

The previous prime is 16000029629461. The next prime is 16000029629497. The reversal of 16000029629472 is 27492692000061.

It is a super-2 number, since 2×16000029629472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104074453 + ... + 104228075.

It is an arithmetic number, because the mean of its divisors is an integer number (255184826400).

Almost surely, 2^{16000029629472} is an apocalyptic number.

16000029629472 is a gapful number since it is divisible by the number (12) 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 16000029629472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24497743334400).

16000029629472 is an abundant number, since it is smaller than the sum of its proper divisors (32995457039328).

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

16000029629472 is a wasteful number, since it uses less digits than its factorization.

16000029629472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156820 (or 156798 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 16000029629472 in words is "sixteen trillion, twenty-nine million, six hundred twenty-nine thousand, four hundred seventy-two".