469053121680 has 840 divisors, whose sum is σ = 1935858039864. Its totient is φ = 104942407680.

The previous prime is 469053121643. The next prime is 469053121699. The reversal of 469053121680 is 86121350964.

469053121680 is a `hidden beast` number, since 4 + 6 + 90 + 531 + 21 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21700825344 + 447352296336 = 147312^2 + 668844^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 91734804 + ... + 91739916.

Almost surely, 2^469053121680 is an apocalyptic number.

469053121680 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 469053121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967929019932).

469053121680 is an abundant number, since it is smaller than the sum of its proper divisors (1466804918184).

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

469053121680 is a wasteful number, since it uses less digits than its factorization.

469053121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 469053121680 in words is "four hundred sixty-nine billion, fifty-three million, one hundred twenty-one thousand, six hundred eighty".