46798819200 has 480 divisors, whose sum is σ = 197376719760. Its totient is φ = 10696458240.

The previous prime is 46798819163. The next prime is 46798819253. The reversal of 46798819200 is 291889764.

46798819200 is a `hidden beast` number, since 467 + 98 + 8 + 1 + 92 + 0 + 0 = 666.

46798819200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1801504 + ... + 1827296.

Almost surely, 2^46798819200 is an apocalyptic number.

46798819200 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 46798819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98688359880).

46798819200 is an abundant number, since it is smaller than the sum of its proper divisors (150577900560).

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

46798819200 is a wasteful number, since it uses less digits than its factorization.

46798819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25836 (or 25810 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 46798819200 in words is "forty-six billion, seven hundred ninety-eight million, eight hundred nineteen thousand, two hundred".