526469104416 has 288 divisors, whose sum is σ = 1537065621504. Its totient is φ = 157189939200.

The previous prime is 526469104393. The next prime is 526469104417. The reversal of 526469104416 is 614401964625.

It is a super-2 number, since 2×526469104416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (526469104417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95666721 + ... + 95672223.

It is an arithmetic number, because the mean of its divisors is an integer number (5337033408).

Almost surely, 2^526469104416 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 526469104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768532810752).

526469104416 is an abundant number, since it is smaller than the sum of its proper divisors (1010596517088).

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

526469104416 is a wasteful number, since it uses less digits than its factorization.

526469104416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 526469104416 in words is "five hundred twenty-six billion, four hundred sixty-nine million, one hundred four thousand, four hundred sixteen".