532861629547104 has 1008 divisors, whose sum is σ = 1874381780502000. Its totient is φ = 148050334586880.

The previous prime is 532861629547081. The next prime is 532861629547111. The reversal of 532861629547104 is 401745926168235.

It is a happy number.

532861629547104 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 61 + 6 + 29 + 547 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5467497927 + ... + 5467595385.

It is an arithmetic number, because the mean of its divisors is an integer number (1859505734625).

It is a 2-persistent number, because it is pandigital, and so is 2⋅532861629547104 = 1065723259094208, but 3⋅532861629547104 = 1598584888641312 is not.

Almost surely, 2^{532861629547104} is an apocalyptic number.

532861629547104 is a gapful number since it is divisible by the number (54) 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 532861629547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937190890251000).

532861629547104 is an abundant number, since it is smaller than the sum of its proper divisors (1341520150954896).

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

532861629547104 is a wasteful number, since it uses less digits than its factorization.

532861629547104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97671 (or 97637 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 532861629547104 in words is "five hundred thirty-two trillion, eight hundred sixty-one billion, six hundred twenty-nine million, five hundred forty-seven thousand, one hundred four".