45956741806080 has 864 divisors, whose sum is σ = 193338540813600. Its totient is φ = 10047662456832.

The previous prime is 45956741806067. The next prime is 45956741806081. The reversal of 45956741806080 is 8060814765954.

45956741806080 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 6 + 7 + 4 + 18 + 0 + 608 + 0 = 666.

It is a super-2 number, since 2×45956741806080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 45956741805999 and 45956741806017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45956741806081) 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, 103643086 + ... + 104085554.

It is an arithmetic number, because the mean of its divisors is an integer number (223771459275).

Almost surely, 2^{45956741806080} is an apocalyptic number.

45956741806080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45956741806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96669270406800).

45956741806080 is an abundant number, since it is smaller than the sum of its proper divisors (147381799007520).

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

45956741806080 is a wasteful number, since it uses less digits than its factorization.

45956741806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442539 (or 442509 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 45956741806080 in words is "forty-five trillion, nine hundred fifty-six billion, seven hundred forty-one million, eight hundred six thousand, eighty".