46613320000 has 280 divisors, whose sum is σ = 131824283976. Its totient is φ = 16195584000.

The previous prime is 46613319979. The next prime is 46613320021. The reversal of 46613320000 is 2331664.

It is an interprime number because it is at equal distance from previous prime (46613319979) and next prime (46613320021).

It can be written as a sum of positive squares in 20 ways, for example, as 46455767296 + 157552704 = 215536^2 + 12552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 39 ways as a sum of consecutive naturals, for example, 8837364 + ... + 8842636.

Almost surely, 2^46613320000 is an apocalyptic number.

46613320000 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 46613320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65912141988).

46613320000 is an abundant number, since it is smaller than the sum of its proper divisors (85210963976).

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

46613320000 is a wasteful number, since it uses less digits than its factorization.

46613320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 46613320000 its reverse (2331664), we get a palindrome (46615651664).

The spelling of 46613320000 in words is "forty-six billion, six hundred thirteen million, three hundred twenty thousand".