45517271363616 has 384 divisors, whose sum is σ = 133693701120000. Its totient is φ = 13463301390336.

The previous prime is 45517271363593. The next prime is 45517271363623. The reversal of 45517271363616 is 61636317271554.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8271353121 + ... + 8271358623.

It is an arithmetic number, because the mean of its divisors is an integer number (348160680000).

Almost surely, 2^{45517271363616} 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 45517271363616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66846850560000).

45517271363616 is an abundant number, since it is smaller than the sum of its proper divisors (88176429756384).

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

45517271363616 is a wasteful number, since it uses less digits than its factorization.

45517271363616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6516 (or 6508 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 57.

The spelling of 45517271363616 in words is "forty-five trillion, five hundred seventeen billion, two hundred seventy-one million, three hundred sixty-three thousand, six hundred sixteen".