48543213551616 has 825 divisors, whose sum is σ = 169404947166891. Its totient is φ = 13869489586176.

The previous prime is 48543213551557. The next prime is 48543213551647. The reversal of 48543213551616 is 61615531234584.

The square root of 48543213551616 is 6967296.

It is a perfect power (a square), and thus also a powerful number.

48543213551616 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 3 + 2 + 13 + 5 + 5 + 1 + 616 = 666.

It is a super-2 number, since 2×48543213551616² (a number of 28 digits) contains 22 as substring.

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

Its product of digits (10368000) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 6934744793085 + ... + 6934744793091.

Almost surely, 2^{48543213551616} is an apocalyptic number.

48543213551616 is the 6967296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48543213551616

48543213551616 is an abundant number, since it is smaller than the sum of its proper divisors (120861733615275).

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

48543213551616 is an frugal number, since it uses more digits than its factorization.

48543213551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 12 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 48543213551616 in words is "forty-eight trillion, five hundred forty-three billion, two hundred thirteen million, five hundred fifty-one thousand, six hundred sixteen".