46565640000 has 630 divisors, whose sum is σ = 183498925610. Its totient is φ = 11278080000.

The previous prime is 46565639969. The next prime is 46565640013. The reversal of 46565640000 is 4656564.

It is a happy number.

46565640000 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 5 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 18991044864 + 27574595136 = 137808^2 + 166056^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 43559466 + ... + 43560534.

Almost surely, 2^46565640000 is an apocalyptic number.

46565640000 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 46565640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91749462805).

46565640000 is an abundant number, since it is smaller than the sum of its proper divisors (136933285610).

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

46565640000 is a wasteful number, since it uses less digits than its factorization.

46565640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

46565640000 divided by its reverse (4656564) gives a 4-th power (10000 = 10⁴).

The spelling of 46565640000 in words is "forty-six billion, five hundred sixty-five million, six hundred forty thousand".