46878955200 has 1344 divisors, whose sum is σ = 225864115200. Its totient is φ = 9157017600.

The previous prime is 46878955169. The next prime is 46878955219. The reversal of 46878955200 is 255987864.

46878955200 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 89 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 56548386 + ... + 56549214.

Almost surely, 2^46878955200 is an apocalyptic number.

46878955200 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 46878955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112932057600).

46878955200 is an abundant number, since it is smaller than the sum of its proper divisors (178985160000).

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

46878955200 is a wasteful number, since it uses less digits than its factorization.

46878955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 46878955200 in words is "forty-six billion, eight hundred seventy-eight million, nine hundred fifty-five thousand, two hundred".