38515954464 has 576 divisors, whose sum is σ = 128445972480. Its totient is φ = 11208637440.

The previous prime is 38515954447. The next prime is 38515954487. The reversal of 38515954464 is 46445951583.

38515954464 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 595 + 4 + 46 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10368000) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 38515954464.

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 95 ways as a sum of consecutive naturals, for example, 303275169 + ... + 303275295.

It is an arithmetic number, because the mean of its divisors is an integer number (222996480).

Almost surely, 2^38515954464 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 38515954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222986240).

38515954464 is an abundant number, since it is smaller than the sum of its proper divisors (89930018016).

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

38515954464 is a wasteful number, since it uses less digits than its factorization.

38515954464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 38515954464 in words is "thirty-eight billion, five hundred fifteen million, nine hundred fifty-four thousand, four hundred sixty-four".