38454045489216 has 560 divisors, whose sum is σ = 132336984764160. Its totient is φ = 10813429186560.

The previous prime is 38454045489203. The next prime is 38454045489227. The reversal of 38454045489216 is 61298454045483.

38454045489216 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 404 + 5 + 4 + 8 + 9 + 216 = 666.

It is a super-2 number, since 2×38454045489216² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1527821080 + ... + 1527846248.

Almost surely, 2^{38454045489216} is an apocalyptic number.

38454045489216 is a gapful number since it is divisible by the number (36) 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 38454045489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66168492382080).

38454045489216 is an abundant number, since it is smaller than the sum of its proper divisors (93882939274944).

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

38454045489216 is a wasteful number, since it uses less digits than its factorization.

38454045489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864 (or 25845 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 38454045489216 in words is "thirty-eight trillion, four hundred fifty-four billion, forty-five million, four hundred eighty-nine thousand, two hundred sixteen".