46488270560256 has 1056 divisors, whose sum is σ = 164588515553280. Its totient is φ = 12843015782400.

The previous prime is 46488270560197. The next prime is 46488270560257. The reversal of 46488270560256 is 65206507288464.

46488270560256 is a `hidden beast` number, since 4 + 6 + 48 + 8 + 2 + 7 + 0 + 560 + 25 + 6 = 666.

46488270560256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46488270560256² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46488270560193 and 46488270560202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46488270560257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39363479986 + ... + 39363481166.

Almost surely, 2^{46488270560256} 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 46488270560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82294257776640).

46488270560256 is an abundant number, since it is smaller than the sum of its proper divisors (118100244993024).

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

46488270560256 is an frugal number, since it uses more digits than its factorization.

46488270560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 46488270560256 in words is "forty-six trillion, four hundred eighty-eight billion, two hundred seventy million, five hundred sixty thousand, two hundred fifty-six".