16451841429504 has 832 divisors, whose sum is σ = 53460688538880. Its totient is φ = 4969385164800.

The previous prime is 16451841429487. The next prime is 16451841429547. The reversal of 16451841429504 is 40592414815461.

It is a happy number.

16451841429504 is a `hidden beast` number, since 1 + 6 + 4 + 51 + 8 + 41 + 42 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 19893399139 + ... + 19893399965.

Almost surely, 2^{16451841429504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16451841429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730344269440).

16451841429504 is an abundant number, since it is smaller than the sum of its proper divisors (37008847109376).

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

16451841429504 is a wasteful number, since it uses less digits than its factorization.

16451841429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 16451841429504 in words is "sixteen trillion, four hundred fifty-one billion, eight hundred forty-one million, four hundred twenty-nine thousand, five hundred four".