46329862656 has 640 divisors, whose sum is σ = 165460838400. Its totient is φ = 11156520960.

The previous prime is 46329862651. The next prime is 46329862703. The reversal of 46329862656 is 65626892364.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 46329862596 and 46329862605.

It is not an unprimeable number, because it can be changed into a prime (46329862651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119099710 + ... + 119100098.

It is an arithmetic number, because the mean of its divisors is an integer number (258532560).

Almost surely, 2^46329862656 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 46329862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730419200).

46329862656 is an abundant number, since it is smaller than the sum of its proper divisors (119130975744).

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

46329862656 is a wasteful number, since it uses less digits than its factorization.

46329862656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The spelling of 46329862656 in words is "forty-six billion, three hundred twenty-nine million, eight hundred sixty-two thousand, six hundred fifty-six".