4532913516096 has 1701 divisors, whose sum is σ = 17269914637521. Its totient is φ = 1133138958336.

The previous prime is 4532913516049. The next prime is 4532913516121. The reversal of 4532913516096 is 6906153192354.

The square root of 4532913516096 is 2129064.

It is a perfect power (a square), and thus also a powerful number.

4532913516096 is a `hidden beast` number, since 4 + 5 + 3 + 29 + 1 + 3 + 5 + 1 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2376949893696 + 2155963622400 = 1541736^2 + 1468320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 156307362610 + ... + 156307362638.

Almost surely, 2^{4532913516096} is an apocalyptic number.

4532913516096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4532913516096 is the 2129064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532913516096

4532913516096 is an abundant number, since it is smaller than the sum of its proper divisors (12737001121425).

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

4532913516096 is a wasteful number, since it uses less digits than its factorization.

4532913516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

It can be divided in two parts, 4532913 and 516096, that added together give a square (5049009 = 2247²).

The spelling of 4532913516096 in words is "four trillion, five hundred thirty-two billion, nine hundred thirteen million, five hundred sixteen thousand, ninety-six".