48615212731800 has 768 divisors, whose sum is σ = 183356064460800. Its totient is φ = 10497840998400.

The previous prime is 48615212731769. The next prime is 48615212731823. The reversal of 48615212731800 is 813721251684.

48615212731800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48615212731800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306140821 + ... + 306299579.

It is an arithmetic number, because the mean of its divisors is an integer number (238744875600).

Almost surely, 2^{48615212731800} is an apocalyptic number.

48615212731800 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 48615212731800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91678032230400).

48615212731800 is an abundant number, since it is smaller than the sum of its proper divisors (134740851729000).

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

48615212731800 is a wasteful number, since it uses less digits than its factorization.

48615212731800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158928 (or 158919 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 48615212731800 in words is "forty-eight trillion, six hundred fifteen billion, two hundred twelve million, seven hundred thirty-one thousand, eight hundred".