45130697217216 has 504 divisors, whose sum is σ = 142199162327040. Its totient is φ = 13677390784512.

The previous prime is 45130697217211. The next prime is 45130697217223. The reversal of 45130697217216 is 61271279603154.

45130697217216 is a `hidden beast` number, since 4 + 51 + 306 + 9 + 72 + 1 + 7 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (45130697217211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1718400501 + ... + 1718426763.

Almost surely, 2^{45130697217216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45130697217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71099581163520).

45130697217216 is an abundant number, since it is smaller than the sum of its proper divisors (97068465109824).

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

45130697217216 is a wasteful number, since it uses less digits than its factorization.

45130697217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26573 (or 26547 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 45130697217216 in words is "forty-five trillion, one hundred thirty billion, six hundred ninety-seven million, two hundred seventeen thousand, two hundred sixteen".