46362400064000 has 320 divisors, whose sum is σ = 117240559454304. Its totient is φ = 18284544000000.

The previous prime is 46362400063999. The next prime is 46362400064009. The reversal of 46362400064000 is 46000426364.

It can be written as a sum of positive squares in 16 ways, for example, as 22032058624 + 46340368005376 = 148432^2 + 6807376^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (46362400064009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557809120 + ... + 1557838880.

Almost surely, 2^{46362400064000} is an apocalyptic number.

46362400064000 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 46362400064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58620279727152).

46362400064000 is an abundant number, since it is smaller than the sum of its proper divisors (70878159390304).

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

46362400064000 is a wasteful number, since it uses less digits than its factorization.

46362400064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30136 (or 30110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 46362400064000 in words is "forty-six trillion, three hundred sixty-two billion, four hundred million, sixty-four thousand".