46306188864 has 336 divisors, whose sum is σ = 149019841152. Its totient is φ = 14172475392.

The previous prime is 46306188839. The next prime is 46306188869. The reversal of 46306188864 is 46888160364.

It is a super-2 number, since 2×46306188864² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46306188864.

It is not an unprimeable number, because it can be changed into a prime (46306188869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47106517 + ... + 47107499.

It is an arithmetic number, because the mean of its divisors is an integer number (443511432).

Almost surely, 2^46306188864 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 46306188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74509920576).

46306188864 is an abundant number, since it is smaller than the sum of its proper divisors (102713652288).

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

46306188864 is a wasteful number, since it uses less digits than its factorization.

46306188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 46306188864 in words is "forty-six billion, three hundred six million, one hundred eighty-eight thousand, eight hundred sixty-four".