46450800000 has 1536 divisors, whose sum is σ = 206536780800. Its totient is φ = 10137600000.

The previous prime is 46450799987. The next prime is 46450800007. The reversal of 46450800000 is 805464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46450800007) by changing a digit.

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, 2019599989 + ... + 2019600011.

It is an arithmetic number, because the mean of its divisors is an integer number (134464050).

Almost surely, 2^46450800000 is an apocalyptic number.

46450800000 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 46450800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103268390400).

46450800000 is an abundant number, since it is smaller than the sum of its proper divisors (160085980800).

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

46450800000 is a wasteful number, since it uses less digits than its factorization.

46450800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 46450800000 in words is "forty-six billion, four hundred fifty million, eight hundred thousand".