16100149046400 has 288 divisors, whose sum is σ = 60472656176400. Its totient is φ = 4067405936640.

The previous prime is 16100149046369. The next prime is 16100149046411. The reversal of 16100149046400 is 464094100161.

16100149046400 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 0 + 1 + 4 + 9 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14164194 + ... + 15258593.

Almost surely, 2^{16100149046400} is an apocalyptic number.

16100149046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16100149046400 is an abundant number, since it is smaller than the sum of its proper divisors (44372507130000).

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

16100149046400 is a wasteful number, since it uses less digits than its factorization.

16100149046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422836 (or 29422816 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16100149046400 in words is "sixteen trillion, one hundred billion, one hundred forty-nine million, forty-six thousand, four hundred".