46847816400 has 960 divisors, whose sum is σ = 195872034816. Its totient is φ = 9289728000.

The previous prime is 46847816381. The next prime is 46847816413. The reversal of 46847816400 is 461874864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46847816400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242734704 + ... + 242734896.

Almost surely, 2^46847816400 is an apocalyptic number.

46847816400 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 46847816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97936017408).

46847816400 is an abundant number, since it is smaller than the sum of its proper divisors (149024218416).

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

46847816400 is a wasteful number, since it uses less digits than its factorization.

46847816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 46847816400 in words is "forty-six billion, eight hundred forty-seven million, eight hundred sixteen thousand, four hundred".