46616362464 has 288 divisors, whose sum is σ = 149000414976. Its totient is φ = 12700047360.

The previous prime is 46616362427. The next prime is 46616362469. The reversal of 46616362464 is 46426361664.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46616362469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56367619 + ... + 56368445.

It is an arithmetic number, because the mean of its divisors is an integer number (517362552).

Almost surely, 2^46616362464 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 46616362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74500207488).

46616362464 is an abundant number, since it is smaller than the sum of its proper divisors (102384052512).

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

46616362464 is a wasteful number, since it uses less digits than its factorization.

46616362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1383 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 46616362464 in words is "forty-six billion, six hundred sixteen million, three hundred sixty-two thousand, four hundred sixty-four".