46289905200 has 2160 divisors, whose sum is σ = 229695298560. Its totient is φ = 8393932800.

The previous prime is 46289905171. The next prime is 46289905231. The reversal of 46289905200 is 250998264.

46289905200 is a `hidden beast` number, since 46 + 2 + 89 + 9 + 0 + 520 + 0 = 666.

46289905200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 984891577 + ... + 984891623.

It is an arithmetic number, because the mean of its divisors is an integer number (106340416).

Almost surely, 2^46289905200 is an apocalyptic number.

46289905200 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 46289905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114847649280).

46289905200 is an abundant number, since it is smaller than the sum of its proper divisors (183405393360).

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

46289905200 is a wasteful number, since it uses less digits than its factorization.

46289905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 46289905200 in words is "forty-six billion, two hundred eighty-nine million, nine hundred five thousand, two hundred".