46118948400 has 480 divisors, whose sum is σ = 192187699200. Its totient is φ = 10283673600.

The previous prime is 46118948399. The next prime is 46118948411. The reversal of 46118948400 is 484981164.

46118948400 is a `hidden beast` number, since 4 + 61 + 189 + 4 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3092161 + ... + 3107039.

It is an arithmetic number, because the mean of its divisors is an integer number (400391040).

Almost surely, 2^46118948400 is an apocalyptic number.

46118948400 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 46118948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96093849600).

46118948400 is an abundant number, since it is smaller than the sum of its proper divisors (146068750800).

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

46118948400 is a wasteful number, since it uses less digits than its factorization.

46118948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14937 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 46118948400 in words is "forty-six billion, one hundred eighteen million, nine hundred forty-eight thousand, four hundred".