45301518001656 has 576 divisors, whose sum is σ = 156056597498880. Its totient is φ = 11784161249280.

The previous prime is 45301518001613. The next prime is 45301518001697. The reversal of 45301518001656 is 65610081510354.

It is a happy number.

45301518001656 is a `hidden beast` number, since 4 + 5 + 301 + 5 + 180 + 0 + 165 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8409412195 + ... + 8409417581.

It is an arithmetic number, because the mean of its divisors is an integer number (270931592880).

Almost surely, 2^{45301518001656} 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 45301518001656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78028298749440).

45301518001656 is an abundant number, since it is smaller than the sum of its proper divisors (110755079497224).

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

45301518001656 is a wasteful number, since it uses less digits than its factorization.

45301518001656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9970 counting only the distinct ones).

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

The spelling of 45301518001656 in words is "forty-five trillion, three hundred one billion, five hundred eighteen million, one thousand, six hundred fifty-six".