38114337089761 has 9 divisors (see below), whose sum is σ = 39383690713329. Its totient is φ = 36884657134500.

The previous prime is 38114337089693. The next prime is 38114337089767. The reversal of 38114337089761 is 16798073341183.

The square root of 38114337089761 is 6173681.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 38114337089761 - 2³⁹ = 37564581275873 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 38114337089761.

It is not an unprimeable number, because it can be changed into a prime (38114337089767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 191284536 + ... + 191483686.

Almost surely, 2^{38114337089761} is an apocalyptic number.

38114337089761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38114337089761 is the 6173681-st square number.

38114337089761 is the 3086841-st centered octagonal number.

It is an amenable number.

38114337089761 is a deficient number, since it is larger than the sum of its proper divisors (1269353623568).

38114337089761 is an frugal number, since it uses more digits than its factorization.

38114337089761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398364 (or 199182 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 38114337089761 in words is "thirty-eight trillion, one hundred fourteen billion, three hundred thirty-seven million, eighty-nine thousand, seven hundred sixty-one".