46481033290000 has 225 divisors, whose sum is σ = 114109982478723. Its totient is φ = 18335795088000.

The previous prime is 46481033289961. The next prime is 46481033290009. The reversal of 46481033290000 is 9233018464.

It is a happy number.

The square root of 46481033290000 is 6817700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3644113009936 + 42836920280064 = 1908956^2 + 6544992^2 .

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46481033290009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53859829569 + ... + 53859830431.

Almost surely, 2^{46481033290000} is an apocalyptic number.

46481033290000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46481033290000 is the 6817700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46481033290000

46481033290000 is an abundant number, since it is smaller than the sum of its proper divisors (67628949188723).

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

46481033290000 is an frugal number, since it uses more digits than its factorization.

46481033290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 46481033290000 in words is "forty-six trillion, four hundred eighty-one billion, thirty-three million, two hundred ninety thousand".