469381791707136 has 3744 divisors, whose sum is σ = 1859245927418880. Its totient is φ = 115659343134720.

The previous prime is 469381791707119. The next prime is 469381791707173. The reversal of 469381791707136 is 631707197183964.

469381791707136 is a `hidden beast` number, since 4 + 6 + 9 + 381 + 7 + 9 + 170 + 71 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1784721641341 + ... + 1784721641603.

It is an arithmetic number, because the mean of its divisors is an integer number (496593463520).

Almost surely, 2^{469381791707136} 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 469381791707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929622963709440).

469381791707136 is an abundant number, since it is smaller than the sum of its proper divisors (1389864135711744).

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

469381791707136 is a wasteful number, since it uses less digits than its factorization.

469381791707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 469381791707136 in words is "four hundred sixty-nine trillion, three hundred eighty-one billion, seven hundred ninety-one million, seven hundred seven thousand, one hundred thirty-six".