16629701537352 has 256 divisors, whose sum is σ = 44105810411520. Its totient is φ = 5214553344000.

The previous prime is 16629701537321. The next prime is 16629701537359. The reversal of 16629701537352 is 25373510792661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16629701537292 and 16629701537301.

It is not an unprimeable number, because it can be changed into a prime (16629701537359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8523679977 + ... + 8523681927.

It is an arithmetic number, because the mean of its divisors is an integer number (172288321920).

Almost surely, 2^{16629701537352} is an apocalyptic number.

16629701537352 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 16629701537352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052905205760).

16629701537352 is an abundant number, since it is smaller than the sum of its proper divisors (27476108874168).

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

16629701537352 is a wasteful number, since it uses less digits than its factorization.

16629701537352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 16629701537352 in words is "sixteen trillion, six hundred twenty-nine billion, seven hundred one million, five hundred thirty-seven thousand, three hundred fifty-two".