46242521600 has 360 divisors, whose sum is σ = 127968931860. Its totient is φ = 16544563200.

The previous prime is 46242521579. The next prime is 46242521617. The reversal of 46242521600 is 612524264.

It can be written as a sum of positive squares in 6 ways, for example, as 29325877504 + 16916644096 = 171248^2 + 130064^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113062196 + ... + 113062604.

Almost surely, 2^46242521600 is an apocalyptic number.

46242521600 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 46242521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63984465930).

46242521600 is an abundant number, since it is smaller than the sum of its proper divisors (81726410260).

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

46242521600 is a wasteful number, since it uses less digits than its factorization.

46242521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 46242521600 in words is "forty-six billion, two hundred forty-two million, five hundred twenty-one thousand, six hundred".