46259808000 has 1152 divisors, whose sum is σ = 190277627904. Its totient is φ = 9732096000.

The previous prime is 46259807953. The next prime is 46259808011. The reversal of 46259808000 is 80895264.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 633695964 + ... + 633696036.

It is an arithmetic number, because the mean of its divisors is an integer number (165171552).

Almost surely, 2^46259808000 is an apocalyptic number.

46259808000 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 46259808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95138813952).

46259808000 is an abundant number, since it is smaller than the sum of its proper divisors (144017819904).

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

46259808000 is a wasteful number, since it uses less digits than its factorization.

46259808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 46259808000 in words is "forty-six billion, two hundred fifty-nine million, eight hundred eight thousand".