46401659800 has 192 divisors, whose sum is σ = 117982448640. Its totient is φ = 16902144000.

The previous prime is 46401659791. The next prime is 46401659813. The reversal of 46401659800 is 895610464.

It is a super-2 number, since 2×46401659800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17702490 + ... + 17705110.

It is an arithmetic number, because the mean of its divisors is an integer number (614491920).

Almost surely, 2^46401659800 is an apocalyptic number.

46401659800 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 46401659800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58991224320).

46401659800 is an abundant number, since it is smaller than the sum of its proper divisors (71580788840).

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

46401659800 is a wasteful number, since it uses less digits than its factorization.

46401659800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 46401659800 in words is "forty-six billion, four hundred one million, six hundred fifty-nine thousand, eight hundred".