469201787102964 has 96 divisors (see below), whose sum is σ = 1154868309504000. Its totient is φ = 147854922310656.

The previous prime is 469201787102933. The next prime is 469201787102969.

469201787102964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 469201787102895 and 469201787102904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469201787102969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5238745647 + ... + 5238835209.

It is an arithmetic number, because the mean of its divisors is an integer number (12029878224000).

Almost surely, 2^{469201787102964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469201787102964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577434154752000).

469201787102964 is an abundant number, since it is smaller than the sum of its proper divisors (685666522401036).

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

469201787102964 is a wasteful number, since it uses less digits than its factorization.

469201787102964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138037 (or 138035 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 469201787102964 in words is "four hundred sixty-nine trillion, two hundred one billion, seven hundred eighty-seven million, one hundred two thousand, nine hundred sixty-four".