45887816103840 has 576 divisors, whose sum is σ = 159090474816000. Its totient is φ = 12043564646400.

The previous prime is 45887816103839. The next prime is 45887816103911. The reversal of 45887816103840 is 4830161878854.

It is a happy number.

45887816103840 is a `hidden beast` number, since 4 + 5 + 8 + 8 + 7 + 8 + 1 + 610 + 3 + 8 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10820044120 + ... + 10820048360.

It is an arithmetic number, because the mean of its divisors is an integer number (276198741000).

Almost surely, 2^{45887816103840} is an apocalyptic number.

45887816103840 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 45887816103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79545237408000).

45887816103840 is an abundant number, since it is smaller than the sum of its proper divisors (113202658712160).

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

45887816103840 is a wasteful number, since it uses less digits than its factorization.

45887816103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 45887816103840 in words is "forty-five trillion, eight hundred eighty-seven billion, eight hundred sixteen million, one hundred three thousand, eight hundred forty".