46311162440000 has 280 divisors, whose sum is σ = 115712036645568. Its totient is φ = 18383500800000.

The previous prime is 46311162439963. The next prime is 46311162440021. The reversal of 46311162440000 is 4426111364.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7205716787 + ... + 7205723213.

Almost surely, 2^{46311162440000} is an apocalyptic number.

46311162440000 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 46311162440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57856018322784).

46311162440000 is an abundant number, since it is smaller than the sum of its proper divisors (69400874205568).

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

46311162440000 is a wasteful number, since it uses less digits than its factorization.

46311162440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 46311162440000 its reverse (4426111364), we get a palindrome (46315588551364).

The spelling of 46311162440000 in words is "forty-six trillion, three hundred eleven billion, one hundred sixty-two million, four hundred forty thousand".