534752190336 has 1024 divisors, whose sum is σ = 1909142323200. Its totient is φ = 129522032640.

The previous prime is 534752190331. The next prime is 534752190389. The reversal of 534752190336 is 633091257435.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534752190331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4210647105 + ... + 4210647231.

It is an arithmetic number, because the mean of its divisors is an integer number (1864396800).

Almost surely, 2^534752190336 is an apocalyptic number.

534752190336 is a gapful number since it is divisible by the number (56) 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 534752190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954571161600).

534752190336 is an abundant number, since it is smaller than the sum of its proper divisors (1374390132864).

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

534752190336 is a wasteful number, since it uses less digits than its factorization.

534752190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

It can be divided in two parts, 53475 and 2190336, that multiplied together give a square (117128217600 = 342240²).

The spelling of 534752190336 in words is "five hundred thirty-four billion, seven hundred fifty-two million, one hundred ninety thousand, three hundred thirty-six".