46809126000 has 1440 divisors, whose sum is σ = 218376273024. Its totient is φ = 9068544000.

The previous prime is 46809125921. The next prime is 46809126011. The reversal of 46809126000 is 62190864.

46809126000 is a `hidden beast` number, since 46 + 8 + 0 + 9 + 1 + 2 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1141685980 + ... + 1141686020.

Almost surely, 2^46809126000 is an apocalyptic number.

46809126000 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 46809126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109188136512).

46809126000 is an abundant number, since it is smaller than the sum of its proper divisors (171567147024).

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

46809126000 is a wasteful number, since it uses less digits than its factorization.

46809126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 46809126000 in words is "forty-six billion, eight hundred nine million, one hundred twenty-six thousand".