546123531925440 has 3584 divisors, whose sum is σ = 2349174457344000. Its totient is φ = 120789168095232.

The previous prime is 546123531925421. The next prime is 546123531925501. The reversal of 546123531925440 is 44529135321645.

546123531925440 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 2 + 3 + 5 + 3 + 1 + 92 + 544 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 1620544604952 + ... + 1620544605288.

Almost surely, 2^{546123531925440} 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 546123531925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174587228672000).

546123531925440 is an abundant number, since it is smaller than the sum of its proper divisors (1803050925418560).

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

546123531925440 is an equidigital number, since it uses as much as digits as its factorization.

546123531925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 546123531925440 in words is "five hundred forty-six trillion, one hundred twenty-three billion, five hundred thirty-one million, nine hundred twenty-five thousand, four hundred forty".