46848488484864 has 624 divisors, whose sum is σ = 146570545578240. Its totient is φ = 13259331993600.

The previous prime is 46848488484851. The next prime is 46848488484877.

46848488484864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46848488484851) and next prime (46848488484877).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005746274 + ... + 2005769630.

Almost surely, 2^{46848488484864} is an apocalyptic number.

46848488484864 is a gapful number since it is divisible by the number (44) 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 46848488484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73285272789120).

46848488484864 is an abundant number, since it is smaller than the sum of its proper divisors (99722057093376).

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

46848488484864 is a wasteful number, since it uses less digits than its factorization.

46848488484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23496 (or 23463 counting only the distinct ones).

The product of its digits is 38654705664, while the sum is 84.

The spelling of 46848488484864 in words is "forty-six trillion, eight hundred forty-eight billion, four hundred eighty-eight million, four hundred eighty-four thousand, eight hundred sixty-four".