1624416012001 has 16 divisors (see below), whose sum is σ = 1766039552640. Its totient is φ = 1489200785280.

The previous prime is 1624416011993. The next prime is 1624416012007. The reversal of 1624416012001 is 1002106144261.

It is a cyclic number.

It is not a de Polignac number, because 1624416012001 - 2³ = 1624416011993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1624416012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10975285 + ... + 11122306.

It is an arithmetic number, because the mean of its divisors is an integer number (110377472040).

Almost surely, 2^{1624416012001} is an apocalyptic number.

It is an amenable number.

1624416012001 is a deficient number, since it is larger than the sum of its proper divisors (141623540639).

1624416012001 is a wasteful number, since it uses less digits than its factorization.

1624416012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22097736.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 1624416012001 in words is "one trillion, six hundred twenty-four billion, four hundred sixteen million, twelve thousand, one".