38401125514805 has 32 divisors (see below), whose sum is σ = 49076556014304. Its totient is φ = 28745190752256.

The previous prime is 38401125514789. The next prime is 38401125514831. The reversal of 38401125514805 is 50841552110483.

It can be written as a sum of positive squares in 16 ways, for example, as 240447045316 + 38160678469489 = 490354^2 + 6177433^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401125514805 - 2⁴ = 38401125514789 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38401125514805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351291917 + ... + 351401213.

It is an arithmetic number, because the mean of its divisors is an integer number (1533642375447).

Almost surely, 2^{38401125514805} is an apocalyptic number.

It is an amenable number.

38401125514805 is a deficient number, since it is larger than the sum of its proper divisors (10675430499499).

38401125514805 is a wasteful number, since it uses less digits than its factorization.

38401125514805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133385.

The product of its (nonzero) digits is 768000, while the sum is 47.

The spelling of 38401125514805 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, five hundred fourteen thousand, eight hundred five".