101628906542016 has 336 divisors, whose sum is σ = 322920017648640. Its totient is φ = 28097041674240.

The previous prime is 101628906541997. The next prime is 101628906542021. The reversal of 101628906542016 is 610245609826101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 101628906542016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177262140 + ... + 4177286468.

Almost surely, 2^{101628906542016} is an apocalyptic number.

101628906542016 is a gapful number since it is divisible by the number (16) 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 101628906542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161460008824320).

101628906542016 is an abundant number, since it is smaller than the sum of its proper divisors (221291111106624).

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

101628906542016 is a wasteful number, since it uses less digits than its factorization.

101628906542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38712 (or 38695 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 101628906542016 in words is "one hundred one trillion, six hundred twenty-eight billion, nine hundred six million, five hundred forty-two thousand, sixteen".