46341120000 has 560 divisors, whose sum is σ = 176879780352. Its totient is φ = 10567680000.

The previous prime is 46341119989. The next prime is 46341120013. The reversal of 46341120000 is 2114364.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 39 ways as a sum of consecutive naturals, for example, 107519785 + ... + 107520215.

Almost surely, 2^46341120000 is an apocalyptic number.

46341120000 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 46341120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88439890176).

46341120000 is an abundant number, since it is smaller than the sum of its proper divisors (130538660352).

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

46341120000 is an frugal number, since it uses more digits than its factorization.

46341120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 46341120000 its reverse (2114364), we get a palindrome (46343234364).

The spelling of 46341120000 in words is "forty-six billion, three hundred forty-one million, one hundred twenty thousand".