45799002110016 has 1323 divisors, whose sum is σ = 154358563395159. Its totient is φ = 13471756517376.

The previous prime is 45799002109943. The next prime is 45799002110023. The reversal of 45799002110016 is 61001120099754.

The square root of 45799002110016 is 6767496.

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

45799002110016 is a `hidden beast` number, since 457 + 9 + 90 + 0 + 2 + 1 + 100 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2681393150016 + 43117608960000 = 1637496^2 + 6566400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 472154660880 + ... + 472154660976.

Almost surely, 2^{45799002110016} is an apocalyptic number.

45799002110016 is the 6767496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45799002110016

45799002110016 is an abundant number, since it is smaller than the sum of its proper divisors (108559561285143).

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

45799002110016 is an frugal number, since it uses more digits than its factorization.

45799002110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 45799002110016 in words is "forty-five trillion, seven hundred ninety-nine billion, two million, one hundred ten thousand, sixteen".