468220354560 has 1260 divisors, whose sum is σ = 1979366765922. Its totient is φ = 102368673792.

The previous prime is 468220354471. The next prime is 468220354571. The reversal of 468220354560 is 65453022864.

468220354560 is a `hidden beast` number, since 4 + 6 + 82 + 2 + 0 + 3 + 5 + 4 + 560 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421398319104 + 46822035456 = 649152^2 + 216384^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×468220354560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 20357406709 + ... + 20357406731.

Almost surely, 2^468220354560 is an apocalyptic number.

468220354560 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 468220354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989683382961).

468220354560 is an abundant number, since it is smaller than the sum of its proper divisors (1511146411362).

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

468220354560 is an frugal number, since it uses more digits than its factorization.

468220354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 468220354560 in words is "four hundred sixty-eight billion, two hundred twenty million, three hundred fifty-four thousand, five hundred sixty".