46289925000 has 576 divisors, whose sum is σ = 174391963200. Its totient is φ = 10996800000.

The previous prime is 46289924951. The next prime is 46289925043. The reversal of 46289925000 is 52998264.

46289925000 is a `hidden beast` number, since 4 + 62 + 89 + 9 + 2 + 500 + 0 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146024842 + ... + 146025158.

It is an arithmetic number, because the mean of its divisors is an integer number (302763825).

Almost surely, 2^46289925000 is an apocalyptic number.

46289925000 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 46289925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87195981600).

46289925000 is an abundant number, since it is smaller than the sum of its proper divisors (128102038200).

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

46289925000 is a wasteful number, since it uses less digits than its factorization.

46289925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

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

The spelling of 46289925000 in words is "forty-six billion, two hundred eighty-nine million, nine hundred twenty-five thousand".