5546338314240 has 192 divisors, whose sum is σ = 18223519466880. Its totient is φ = 1439049646080.

The previous prime is 5546338314233. The next prime is 5546338314241. The reversal of 5546338314240 is 424138336455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5546338314240.

It is not an unprimeable number, because it can be changed into a prime (5546338314241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303156 + ... + 3576435.

It is an arithmetic number, because the mean of its divisors is an integer number (94914163890).

Almost surely, 2^{5546338314240} is an apocalyptic number.

It is an amenable number.

5546338314240 is an abundant number, since it is smaller than the sum of its proper divisors (12677181152640).

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

5546338314240 is a wasteful number, since it uses less digits than its factorization.

5546338314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879658 (or 4879638 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 5546338314240 in words is "five trillion, five hundred forty-six billion, three hundred thirty-eight million, three hundred fourteen thousand, two hundred forty".