467016100000 has 144 divisors (see below), whose sum is σ = 1163090619936. Its totient is φ = 184552480000.

The previous prime is 467016099989. The next prime is 467016100073. The reversal of 467016100000 is 1610764.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8271867 + ... + 8328133.

It is an arithmetic number, because the mean of its divisors is an integer number (8077018194).

Almost surely, 2^467016100000 is an apocalyptic number.

467016100000 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 467016100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581545309968).

467016100000 is an abundant number, since it is smaller than the sum of its proper divisors (696074519936).

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

467016100000 is an frugal number, since it uses more digits than its factorization.

467016100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56385 (or 56357 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 467016100000 its reverse (1610764), we get a palindrome (467017710764).

The spelling of 467016100000 in words is "four hundred sixty-seven billion, sixteen million, one hundred thousand".