16400355046101 has 32 divisors (see below), whose sum is σ = 26803999098240. Its totient is φ = 9846366998400.

The previous prime is 16400355046093. The next prime is 16400355046109. The reversal of 16400355046101 is 10164055300461.

16400355046101 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 35 + 5 + 0 + 4 + 610 + 1 = 666.

16400355046101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16400355046093) and next prime (16400355046109).

It is not a de Polignac number, because 16400355046101 - 2³ = 16400355046093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400355046109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569798515 + ... + 569827296.

It is an arithmetic number, because the mean of its divisors is an integer number (837624971820).

Almost surely, 2^{16400355046101} is an apocalyptic number.

It is an amenable number.

16400355046101 is a deficient number, since it is larger than the sum of its proper divisors (10403644052139).

16400355046101 is a wasteful number, since it uses less digits than its factorization.

16400355046101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139625874 (or 1139625868 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16400355046101 in words is "sixteen trillion, four hundred billion, three hundred fifty-five million, forty-six thousand, one hundred one".