46513242360 has 768 divisors, whose sum is σ = 182281881600. Its totient is φ = 10564411392.

The previous prime is 46513242341. The next prime is 46513242367. The reversal of 46513242360 is 6324231564.

46513242360 is a `hidden beast` number, since 4 + 6 + 51 + 3 + 242 + 360 = 666.

46513242360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46513242367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126738897 + ... + 126739263.

It is an arithmetic number, because the mean of its divisors is an integer number (237346200).

Almost surely, 2^46513242360 is an apocalyptic number.

46513242360 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 46513242360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140940800).

46513242360 is an abundant number, since it is smaller than the sum of its proper divisors (135768639240).

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

46513242360 is a wasteful number, since it uses less digits than its factorization.

46513242360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46513242360 in words is "forty-six billion, five hundred thirteen million, two hundred forty-two thousand, three hundred sixty".