46302632064 has 192 divisors, whose sum is σ = 144096552600. Its totient is φ = 14186741760.

The previous prime is 46302632059. The next prime is 46302632081. The reversal of 46302632064 is 46023620364.

It can be written as a sum of positive squares in 4 ways, for example, as 42156302400 + 4146329664 = 205320^2 + 64392^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3602802 + ... + 3615630.

Almost surely, 2^46302632064 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 46302632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72048276300).

46302632064 is an abundant number, since it is smaller than the sum of its proper divisors (97793920536).

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

46302632064 is a wasteful number, since it uses less digits than its factorization.

46302632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 46302632064 in words is "forty-six billion, three hundred two million, six hundred thirty-two thousand, sixty-four".