10458419616 has 72 divisors (see below), whose sum is σ = 30302328420. Its totient is φ = 3420358656.

The previous prime is 10458419597. The next prime is 10458419633. The reversal of 10458419616 is 61691485401.

10458419616 is a `hidden beast` number, since 1 + 0 + 4 + 584 + 1 + 9 + 61 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9089715600 + 1368704016 = 95340^2 + 36996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327321 + ... + 357848.

Almost surely, 2^10458419616 is an apocalyptic number.

10458419616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10458419616 is an abundant number, since it is smaller than the sum of its proper divisors (19843908804).

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

10458419616 is a wasteful number, since it uses less digits than its factorization.

10458419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685238 (or 685227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10458419616 in words is "ten billion, four hundred fifty-eight million, four hundred nineteen thousand, six hundred sixteen".