468771978444 has 384 divisors, whose sum is σ = 1428277100544. Its totient is φ = 116121600000.

The previous prime is 468771978427. The next prime is 468771978457. The reversal of 468771978444 is 444879177864.

It is a super-2 number, since 2×468771978444² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 812429484 + ... + 812430060.

It is an arithmetic number, because the mean of its divisors is an integer number (3719471616).

Almost surely, 2^468771978444 is an apocalyptic number.

468771978444 is a gapful number since it is divisible by the number (44) 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 468771978444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714138550272).

468771978444 is an abundant number, since it is smaller than the sum of its proper divisors (959505122100).

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

468771978444 is a wasteful number, since it uses less digits than its factorization.

468771978444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 69.

The spelling of 468771978444 in words is "four hundred sixty-eight billion, seven hundred seventy-one million, nine hundred seventy-eight thousand, four hundred forty-four".