534381114960 has 2160 divisors, whose sum is σ = 2524332807360. Its totient is φ = 99887800320.

The previous prime is 534381114899. The next prime is 534381114989. The reversal of 534381114960 is 69411183435.

534381114960 is a `hidden beast` number, since 5 + 3 + 43 + 8 + 111 + 496 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3900592012 + ... + 3900592148.

It is an arithmetic number, because the mean of its divisors is an integer number (1168672596).

Almost surely, 2^534381114960 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 534381114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262166403680).

534381114960 is an abundant number, since it is smaller than the sum of its proper divisors (1989951692400).

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

534381114960 is a wasteful number, since it uses less digits than its factorization.

534381114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 534381114960 in words is "five hundred thirty-four billion, three hundred eighty-one million, one hundred fourteen thousand, nine hundred sixty".