38746528153431 has 48 divisors (see below), whose sum is σ = 60930798796800. Its totient is φ = 21834233733312.

The previous prime is 38746528153427. The next prime is 38746528153453. The reversal of 38746528153431 is 13435182564783.

It is not a de Polignac number, because 38746528153431 - 2² = 38746528153427 is a prime.

It is a super-2 number, since 2×38746528153431² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38746528153331) 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, 7614826 + ... + 11639528.

It is an arithmetic number, because the mean of its divisors is an integer number (1269391641600).

Almost surely, 2^{38746528153431} is an apocalyptic number.

38746528153431 is a deficient number, since it is larger than the sum of its proper divisors (22184270643369).

38746528153431 is a wasteful number, since it uses less digits than its factorization.

38746528153431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025628 (or 4025621 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 38746528153431 in words is "thirty-eight trillion, seven hundred forty-six billion, five hundred twenty-eight million, one hundred fifty-three thousand, four hundred thirty-one".