48634232247216 has 3600 divisors, whose sum is σ = 198590236078080. Its totient is φ = 11406944102400.

The previous prime is 48634232247193. The next prime is 48634232247217. The reversal of 48634232247216 is 61274223243684.

48634232247216 is a `hidden beast` number, since 4 + 8 + 6 + 342 + 3 + 224 + 72 + 1 + 6 = 666.

It is a super-2 number, since 2×48634232247216² (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).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48634232247217) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 382946710545 + ... + 382946710671.

Almost surely, 2^{48634232247216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48634232247216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99295118039040).

48634232247216 is an abundant number, since it is smaller than the sum of its proper divisors (149956003830864).

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

48634232247216 is a wasteful number, since it uses less digits than its factorization.

48634232247216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 48634232247216 in words is "forty-eight trillion, six hundred thirty-four billion, two hundred thirty-two million, two hundred forty-seven thousand, two hundred sixteen".