900415514009 has 24 divisors (see below), whose sum is σ = 1048795440000. Its totient is φ = 770272636320.

The previous prime is 900415513913. The next prime is 900415514027.

900415514009 is nontrivially palindromic in base 10.

900415514009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900415514009 - 2¹⁶ = 900415448473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900415514029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971729 + ... + 1656830.

It is an arithmetic number, because the mean of its divisors is an integer number (43699810000).

Almost surely, 2^900415514009 is an apocalyptic number.

It is an amenable number.

900415514009 is a deficient number, since it is larger than the sum of its proper divisors (148379925991).

900415514009 is a wasteful number, since it uses less digits than its factorization.

900415514009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628749 (or 2628738 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 900415514009 in words is "nine hundred billion, four hundred fifteen million, five hundred fourteen thousand, nine".