38209954046544 has 240 divisors, whose sum is σ = 128936436428800. Its totient is φ = 10318982356224.

The previous prime is 38209954046519. The next prime is 38209954046581. The reversal of 38209954046544 is 44564045990283.

38209954046544 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 9 + 9 + 5 + 40 + 46 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6135417 + ... + 10680039.

Almost surely, 2^{38209954046544} 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 38209954046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64468218214400).

38209954046544 is an abundant number, since it is smaller than the sum of its proper divisors (90726482382256).

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

38209954046544 is a wasteful number, since it uses less digits than its factorization.

38209954046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545102 (or 4545093 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 38209954046544 in words is "thirty-eight trillion, two hundred nine billion, nine hundred fifty-four million, forty-six thousand, five hundred forty-four".