531146511104 has 72 divisors (see below), whose sum is σ = 1158255942480. Its totient is φ = 241084928000.

The previous prime is 531146511097. The next prime is 531146511143. The reversal of 531146511104 is 401115641135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839482 + ... + 2108550.

It is an arithmetic number, because the mean of its divisors is an integer number (16086888090).

Almost surely, 2^531146511104 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 531146511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579127971240).

531146511104 is an abundant number, since it is smaller than the sum of its proper divisors (627109431376).

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

531146511104 is a wasteful number, since it uses less digits than its factorization.

531146511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269797 (or 269783 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 531146511104 in words is "five hundred thirty-one billion, one hundred forty-six million, five hundred eleven thousand, one hundred four".