46357641000 has 288 divisors, whose sum is σ = 172232260200. Its totient is φ = 11237952000.

The previous prime is 46357640971. The next prime is 46357641013. The reversal of 46357641000 is 14675364.

It is a happy number.

46357641000 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 7 + 641 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12279742596 + 34077898404 = 110814^2 + 184602^2 .

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1067716 + ... + 1110284.

Almost surely, 2^46357641000 is an apocalyptic number.

46357641000 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 46357641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86116130100).

46357641000 is an abundant number, since it is smaller than the sum of its proper divisors (125874619200).

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

46357641000 is a wasteful number, since it uses less digits than its factorization.

46357641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42618 (or 42590 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 46357641000 in words is "forty-six billion, three hundred fifty-seven million, six hundred forty-one thousand".