215463482829504 has 1680 divisors, whose sum is σ = 843121027374080. Its totient is φ = 52095552122880.

The previous prime is 215463482829503. The next prime is 215463482829563. The reversal of 215463482829504 is 405928284364512.

It is a happy number.

215463482829504 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 3 + 48 + 2 + 82 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (215463482829503) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10589437059 + ... + 10589457405.

Almost surely, 2^{215463482829504} is an apocalyptic number.

215463482829504 is a gapful number since it is divisible by the number (24) 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 215463482829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421560513687040).

215463482829504 is an abundant number, since it is smaller than the sum of its proper divisors (627657544544576).

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

215463482829504 is a wasteful number, since it uses less digits than its factorization.

215463482829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20456 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 215463482829504 in words is "two hundred fifteen trillion, four hundred sixty-three billion, four hundred eighty-two million, eight hundred twenty-nine thousand, five hundred four".