534816931461120 has 1536 divisors, whose sum is σ = 2371273673932800. Its totient is φ = 111080993587200.

The previous prime is 534816931461119. The next prime is 534816931461133. The reversal of 534816931461120 is 21164139618435.

534816931461120 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 1 + 6 + 9 + 3 + 14 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 65293236225 + ... + 65293244415.

It is an arithmetic number, because the mean of its divisors is an integer number (1543797964800).

Almost surely, 2^{534816931461120} 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 534816931461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185636836966400).

534816931461120 is an abundant number, since it is smaller than the sum of its proper divisors (1836456742471680).

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

534816931461120 is a wasteful number, since it uses less digits than its factorization.

534816931461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 534816931461120 in words is "five hundred thirty-four trillion, eight hundred sixteen billion, nine hundred thirty-one million, four hundred sixty-one thousand, one hundred twenty".