46103428800 has 1344 divisors, whose sum is σ = 209536588800. Its totient is φ = 9687859200.

The previous prime is 46103428753. The next prime is 46103428823. The reversal of 46103428800 is 882430164.

46103428800 is a `hidden beast` number, since 4 + 610 + 34 + 2 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×46103428800² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 105018981 + ... + 105019419.

It is an arithmetic number, because the mean of its divisors is an integer number (155905200).

Almost surely, 2^46103428800 is an apocalyptic number.

46103428800 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 46103428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104768294400).

46103428800 is an abundant number, since it is smaller than the sum of its proper divisors (163433160000).

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

46103428800 is a wasteful number, since it uses less digits than its factorization.

46103428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 46103428800 its reverse (882430164), we get a palindrome (46985858964).

The spelling of 46103428800 in words is "forty-six billion, one hundred three million, four hundred twenty-eight thousand, eight hundred".