845105135616 has 1071 divisors, whose sum is σ = 3111190515351. Its totient is φ = 228750262272.

The previous prime is 845105135579. The next prime is 845105135653. The reversal of 845105135616 is 616531501548.

It is a happy number.

The square root of 845105135616 is 919296.

It is a perfect power (a square), and thus also a powerful number.

845105135616 is a `hidden beast` number, since 8 + 4 + 5 + 10 + 5 + 13 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (845105135579) and next prime (845105135653).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 44479217655 + ... + 44479217673.

Almost surely, 2^845105135616 is an apocalyptic number.

845105135616 is the 919296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845105135616

845105135616 is an abundant number, since it is smaller than the sum of its proper divisors (2266085379735).

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

845105135616 is an frugal number, since it uses more digits than its factorization.

845105135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 845105135616 in words is "eight hundred forty-five billion, one hundred five million, one hundred thirty-five thousand, six hundred sixteen".