45686141157888 has 3200 divisors, whose sum is σ = 185567551488000. Its totient is φ = 11153456455680.

The previous prime is 45686141157857. The next prime is 45686141157919. The reversal of 45686141157888 is 88875114168654.

45686141157888 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 6 + 1 + 41 + 1 + 578 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45686141157857) and next prime (45686141157919).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 359733394881 + ... + 359733395007.

It is an arithmetic number, because the mean of its divisors is an integer number (57989859840).

Almost surely, 2^{45686141157888} is an apocalyptic number.

45686141157888 is a gapful number since it is divisible by the number (48) 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 45686141157888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92783775744000).

45686141157888 is an abundant number, since it is smaller than the sum of its proper divisors (139881410330112).

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

45686141157888 is an equidigital number, since it uses as much as digits as its factorization.

45686141157888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 169 counting only the distinct ones).

The product of its digits is 412876800, while the sum is 72.

The spelling of 45686141157888 in words is "forty-five trillion, six hundred eighty-six billion, one hundred forty-one million, one hundred fifty-seven thousand, eight hundred eighty-eight".