549693507078144 has 3072 divisors, whose sum is σ = 2082768629760000. Its totient is φ = 140862003609600.

The previous prime is 549693507078137. The next prime is 549693507078169. The reversal of 549693507078144 is 441870705396945.

549693507078144 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 9 + 3 + 507 + 0 + 78 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×549693507078144³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 376760456487 + ... + 376760457945.

It is an arithmetic number, because the mean of its divisors is an integer number (677984580000).

Almost surely, 2^{549693507078144} is an apocalyptic number.

549693507078144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549693507078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041384314880000).

549693507078144 is an abundant number, since it is smaller than the sum of its proper divisors (1533075122681856).

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

549693507078144 is a wasteful number, since it uses less digits than its factorization.

549693507078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 549693507078144 in words is "five hundred forty-nine trillion, six hundred ninety-three billion, five hundred seven million, seventy-eight thousand, one hundred forty-four".