38748628374741 has 48 divisors (see below), whose sum is σ = 57934208155200. Its totient is φ = 24927022923264.

The previous prime is 38748628374737. The next prime is 38748628374761. The reversal of 38748628374741 is 14747382684783.

It is a happy number.

38748628374741 is a `hidden beast` number, since 3 + 8 + 7 + 486 + 2 + 8 + 3 + 74 + 74 + 1 = 666.

It is not a de Polignac number, because 38748628374741 - 2² = 38748628374737 is a prime.

It is a super-2 number, since 2×38748628374741² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38748628374741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38748628374761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854148130 + ... + 5854154748.

It is an arithmetic number, because the mean of its divisors is an integer number (1206962669900).

Almost surely, 2^{38748628374741} is an apocalyptic number.

It is an amenable number.

38748628374741 is a deficient number, since it is larger than the sum of its proper divisors (19185579780459).

38748628374741 is a wasteful number, since it uses less digits than its factorization.

38748628374741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16418 (or 16415 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 38748628374741 in words is "thirty-eight trillion, seven hundred forty-eight billion, six hundred twenty-eight million, three hundred seventy-four thousand, seven hundred forty-one".