46651325200 has 120 divisors (see below), whose sum is σ = 121567922280. Its totient is φ = 17134387200.

The previous prime is 46651325153. The next prime is 46651325219. The reversal of 46651325200 is 252315664.

It can be written as a sum of positive squares in 12 ways, for example, as 25386686224 + 21264638976 = 159332^2 + 145824^2 .

It is a super-2 number, since 2×46651325200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 195136 + ... + 362464.

It is an arithmetic number, because the mean of its divisors is an integer number (1013066019).

Almost surely, 2^46651325200 is an apocalyptic number.

46651325200 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 46651325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60783961140).

46651325200 is an abundant number, since it is smaller than the sum of its proper divisors (74916597080).

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

46651325200 is a wasteful number, since it uses less digits than its factorization.

46651325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167405 (or 167394 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 46651325200 in words is "forty-six billion, six hundred fifty-one million, three hundred twenty-five thousand, two hundred".