45761063685120 has 1760 divisors, whose sum is σ = 197844449616000. Its totient is φ = 10098082971648.

The previous prime is 45761063685089. The next prime is 45761063685301. The reversal of 45761063685120 is 2158636016754.

It is a happy number.

45761063685120 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 1 + 0 + 63 + 68 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4125214294 + ... + 4125225386.

It is an arithmetic number, because the mean of its divisors is an integer number (112411619100).

Almost surely, 2^{45761063685120} is an apocalyptic number.

45761063685120 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 45761063685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98922224808000).

45761063685120 is an abundant number, since it is smaller than the sum of its proper divisors (152083385930880).

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

45761063685120 is a wasteful number, since it uses less digits than its factorization.

45761063685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11180 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45761063685120 in words is "forty-five trillion, seven hundred sixty-one billion, sixty-three million, six hundred eighty-five thousand, one hundred twenty".