38193897406464 has 1008 divisors, whose sum is σ = 123879212886240. Its totient is φ = 11619060940800.

The previous prime is 38193897406451. The next prime is 38193897406507. The reversal of 38193897406464 is 46460479839183.

It is a happy number.

38193897406464 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 38 + 97 + 40 + 6 + 464 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38193897406392 and 38193897406401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378157400014 + ... + 378157400114.

It is an arithmetic number, because the mean of its divisors is an integer number (122896044530).

Almost surely, 2^{38193897406464} 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 38193897406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61939606443120).

38193897406464 is an abundant number, since it is smaller than the sum of its proper divisors (85685315479776).

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

38193897406464 is an frugal number, since it uses more digits than its factorization.

38193897406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 38193897406464 in words is "thirty-eight trillion, one hundred ninety-three billion, eight hundred ninety-seven million, four hundred six thousand, four hundred sixty-four".