546142248960 has 896 divisors, whose sum is σ = 2197295299584. Its totient is φ = 112522690560.

The previous prime is 546142248943. The next prime is 546142248989. The reversal of 546142248960 is 69842241645.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863966574 + ... + 1863966866.

It is an arithmetic number, because the mean of its divisors is an integer number (2452338504).

Almost surely, 2^546142248960 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 546142248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098647649792).

546142248960 is an abundant number, since it is smaller than the sum of its proper divisors (1651153050624).

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

546142248960 is a wasteful number, since it uses less digits than its factorization.

546142248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 546142248960 in words is "five hundred forty-six billion, one hundred forty-two million, two hundred forty-eight thousand, nine hundred sixty".