46801210320 has 400 divisors, whose sum is σ = 168075528192. Its totient is φ = 12062131200.

The previous prime is 46801210289. The next prime is 46801210321. The reversal of 46801210320 is 2301210864.

46801210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46801210321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28141809 + ... + 28143471.

Almost surely, 2^46801210320 is an apocalyptic number.

46801210320 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 46801210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84037764096).

46801210320 is an abundant number, since it is smaller than the sum of its proper divisors (121274317872).

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

46801210320 is a wasteful number, since it uses less digits than its factorization.

46801210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 46801210320 in words is "forty-six billion, eight hundred one million, two hundred ten thousand, three hundred twenty".