103577478918144 has 1248 divisors, whose sum is σ = 357958931194368. Its totient is φ = 26054767411200.

The previous prime is 103577478918091. The next prime is 103577478918157. The reversal of 103577478918144 is 441819874775301.

It is a super-3 number, since 3×103577478918144³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106670935579 + ... + 106670936549.

Almost surely, 2^{103577478918144} is an apocalyptic number.

103577478918144 is a gapful number since it is divisible by the number (14) 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 103577478918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178979465597184).

103577478918144 is an abundant number, since it is smaller than the sum of its proper divisors (254381452276224).

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

103577478918144 is a wasteful number, since it uses less digits than its factorization.

103577478918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 69.

The spelling of 103577478918144 in words is "one hundred three trillion, five hundred seventy-seven billion, four hundred seventy-eight million, nine hundred eighteen thousand, one hundred forty-four".