534150492736 has 189 divisors, whose sum is σ = 1277099739801. Its totient is φ = 221010854400.

The previous prime is 534150492719. The next prime is 534150492739. The reversal of 534150492736 is 637294051435.

The square root of 534150492736 is 730856.

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

It can be written as a sum of positive squares in only one way, i.e., 2534518336 + 531615974400 = 50344^2 + 729120^2 .

It is a super-2 number, since 2×534150492736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 534150492736.

It is not an unprimeable number, because it can be changed into a prime (534150492739) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1268765806 + ... + 1268766226.

Almost surely, 2^534150492736 is an apocalyptic number.

534150492736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

534150492736 is the 730856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534150492736

534150492736 is an abundant number, since it is smaller than the sum of its proper divisors (742949247065).

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

534150492736 is an frugal number, since it uses more digits than its factorization.

534150492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 534150492736 by its sum of digits (49), we get a square (26173374144064 = 5115992²).

534150492736 divided by its sum of digits (49) gives a square (10901030464 = 104408²).

The spelling of 534150492736 in words is "five hundred thirty-four billion, one hundred fifty million, four hundred ninety-two thousand, seven hundred thirty-six".