534124092745152 has 3360 divisors, whose sum is σ = 2161812998062080. Its totient is φ = 127163592990720.

The previous prime is 534124092745109. The next prime is 534124092745163. The reversal of 534124092745152 is 251547290421435.

534124092745152 is a `hidden beast` number, since 5 + 3 + 4 + 12 + 40 + 9 + 2 + 74 + 515 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 242013634033 + ... + 242013636239.

Almost surely, 2^{534124092745152} is an apocalyptic number.

534124092745152 is a gapful number since it is divisible by the number (52) 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 534124092745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080906499031040).

534124092745152 is an abundant number, since it is smaller than the sum of its proper divisors (1627688905316928).

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

534124092745152 is a wasteful number, since it uses less digits than its factorization.

534124092745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 534124092745152 in words is "five hundred thirty-four trillion, one hundred twenty-four billion, ninety-two million, seven hundred forty-five thousand, one hundred fifty-two".