38401613518347 has 32 divisors (see below), whose sum is σ = 57183815040000. Its totient is φ = 25469464521600.

The previous prime is 38401613518339. The next prime is 38401613518357. The reversal of 38401613518347 is 74381531610483.

38401613518347 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 613 + 5 + 18 + 3 + 4 + 7 = 666.

It is not a de Polignac number, because 38401613518347 - 2³ = 38401613518339 is a prime.

It is a super-2 number, since 2×38401613518347² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38401613518293 and 38401613518302.

It is not an unprimeable number, because it can be changed into a prime (38401613518357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46274722 + ... + 47097272.

It is an arithmetic number, because the mean of its divisors is an integer number (1786994220000).

Almost surely, 2^{38401613518347} is an apocalyptic number.

38401613518347 is a deficient number, since it is larger than the sum of its proper divisors (18782201521653).

38401613518347 is a wasteful number, since it uses less digits than its factorization.

38401613518347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831448 (or 831442 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38401613518347 in words is "thirty-eight trillion, four hundred one billion, six hundred thirteen million, five hundred eighteen thousand, three hundred forty-seven".